def main():
# Define Attributes, Relations and AttributeStructure
spacetime_loc = vivid.Attribute("spacetime_loc", [vivid.Point("x", "x")])
speed = vivid.Attribute("speed", [vivid.Interval(0.0, 1.0)])
worldline = vivid.Attribute(
'worldline',
[vivid.LineSegment(vivid.Point('x', 'x'), vivid.Point('x', 'x'))])
R1 = vivid.Relation("R1(sp, w1, w2) <=> meets(sp, w1, w2)",
["spacetime_loc", "worldline", "worldline"],
subscript=1)
R2 = vivid.Relation("R2(v) <=> v = 1", ["speed"], subscript=2)
R3 = vivid.Relation("R3(sp1, sp2) <=> not_same_point(sp1, sp2)",
["spacetime_loc", "spacetime_loc"],
subscript=3)
R4 = vivid.Relation("R4(v1, v2) <=> v1 = v2", ["speed", "speed"],
subscript=4)
R5 = vivid.Relation("R5(sp1, sp2) <=> clocks_unequal(sp1, sp2)",
["spacetime_loc", "spacetime_loc"],
subscript=5)
attribute_structure = vivid.AttributeStructure(spacetime_loc, worldline,
speed, R1, R2, R3, R4, R5)
print "Creating Attribute Structure:"
print attribute_structure
print
# define Vocabulary
meets = vivid.RelationSymbol("meets", 3)
speed_of_light = vivid.RelationSymbol("speed_of_light", 1)
not_same_spacetime_location = vivid.RelationSymbol("not_same_spacetime", 2)
in_same_frame = vivid.RelationSymbol("in_same_frame", 2)
clocks_unequal = vivid.RelationSymbol("clocks_unequal", 2)
vocabulary = vivid.Vocabulary(["m1", "m2", "m3", "m4"], [
meets, speed_of_light, not_same_spacetime_location, in_same_frame,
clocks_unequal
], [])
print "Creating Vocabulary:"
print vocabulary
print
# define AttributeInterpretation
profiles = [[
meets, ("spacetime_loc", 1), ("worldline", 2), ("worldline", 3)
], [speed_of_light, ("speed", 1)],
[
not_same_spacetime_location, ("spacetime_loc", 1),
("spacetime_loc", 2)
], [in_same_frame, ("speed", 1), ("speed", 2)],
[clocks_unequal, ("spacetime_loc", 1), ("spacetime_loc", 2)]]
attribute_interpretation = vivid.AttributeInterpretation(
vocabulary, attribute_structure, {
meets: 1,
speed_of_light: 2,
not_same_spacetime_location: 3,
in_same_frame: 4,
clocks_unequal: 5
}, profiles)
print "Creating Attribute Interpretation:"
print attribute_interpretation
print
# Create all the positions and lines ahead of time
m1_segment = vivid.LineSegment(vivid.Point(0.0, 0.0),
vivid.Point(0.0, 0.0))
m2_segment = vivid.LineSegment(vivid.Point(-1.0, -2.0),
vivid.Point(3.0, 6.0))
m3_segment = vivid.LineSegment(vivid.Point(0.0, -2.0),
vivid.Point(4.0, 6.0))
m4_segment = vivid.LineSegment(vivid.Point(1.0, -2.0),
vivid.Point(5.0, 6.0))
c1_segment = vivid.LineSegment(vivid.Point(-2.0, -2.0),
vivid.Point(6.0, 6.0))
c2_segment = vivid.LineSegment(vivid.Point(0.0, 4.0),
vivid.Point(6.0, -2.0))
i1_pos = vivid.Point(0.0, 0.0)
p_pos = vivid.Point(2.0, 2.0)
q_pos = vivid.Point(2.6666666667, 1.3333333333)
i2_pos = vivid.Point(2.6666666667, 1.3333333333)
q_prime_pos = vivid.Point(2.0, 0.0)
# Create initial named state delta 0
objects = ["m1", "m2", "m3", "m4"]
attribute_system = vivid.AttributeSystem(attribute_structure, objects)
print "Creating Attribute System:"
print attribute_system
print
const_mapping = {"m1": "m1", "m2": "m2", "m3": "m3", "m4": "m4"}
p = vivid.ConstantAssignment(vocabulary, attribute_system, const_mapping)
ascr = {
("worldline", "m1"): [m1_segment],
("speed", "m1"): [0.0],
("worldline", "m2"): [m2_segment],
("speed", "m2"): [1.0],
("worldline", "m3"): [m3_segment],
("speed", "m3"): [1.0],
("worldline", "m4"): [m4_segment],
("speed", "m4"): [1.0]
}
delta_0 = vivid.NamedState(attribute_system, p, ascr)
delta_0.add_object("i1", {("spacetime_loc", "i1"): [i1_pos]},
constant_symbol="i1")
print "Creating Initial named state delta 0:"
# print delta_0
print
delta_1 = vivid.diagram_reiteration(
vivid.Context(vivid.AssumptionBase(vocabulary), delta_0))
print "Creating named state delta 1:"
# print delta_1
print
meets_i1_m1_m2 = vivid.Formula(vocabulary, "meets", "i1", "m1", "m2")
same_frame_v1_v2 = vivid.Formula(vocabulary, "in_same_frame", "m1", "m2")
same_frame_v2_v3 = vivid.Formula(vocabulary, "in_same_frame", "m2", "m3")
same_frame_v2_v4 = vivid.Formula(vocabulary, "in_same_frame", "m2", "m4")
same_frame_v3_v4 = vivid.Formula(vocabulary, "in_same_frame", "m3", "m4")
delta_1_context = vivid.Context(vivid.AssumptionBase(vocabulary), delta_1)
print "Verifying first set of observations:"
assert (vivid.observe(delta_1_context, meets_i1_m1_m2,
attribute_interpretation)
and not vivid.observe(delta_1_context, same_frame_v1_v2,
attribute_interpretation))
assert vivid.observe(delta_1_context, same_frame_v2_v3,
attribute_interpretation)
assert vivid.observe(delta_1_context, same_frame_v2_v4,
attribute_interpretation)
assert vivid.observe(delta_1_context, same_frame_v3_v4,
attribute_interpretation)
print "True"
print
# Add p and c1 to the diagram
delta_1.add_object("p", {("spacetime_loc", "p"): [p_pos]},
constant_symbol="p")
delta_1.add_object("c1", {
("worldline", "c1"): [c1_segment],
("speed", "c1"): [1.0]
},
constant_symbol="c1")
delta_2 = vivid.diagram_reiteration(
vivid.Context(vivid.AssumptionBase(vocabulary), delta_1))
print "Creating named state delta 2:"
# print delta_2
print
meets_p_c1_m3 = vivid.Formula(vocabulary, 'meets', 'p', 'c1', 'm3')
speed_of_light_c1 = vivid.Formula(vocabulary, 'speed_of_light', 'c1')
delta_2_context = vivid.Context(vivid.AssumptionBase(vocabulary), delta_2)
print "Verifying second set of observations:"
assert (vivid.observe(delta_2_context, meets_p_c1_m3,
attribute_interpretation)
and vivid.observe(delta_2_context, speed_of_light_c1,
attribute_interpretation))
print "True"
print
print "Asserting thinning can derive delta 3 from delta 2, then creating delta 3:"
assert vivid.thinning(delta_2_context, delta_2)
print "True"
print
delta_3 = vivid.diagram_reiteration(delta_2_context)
delta_3.add_object("c2", {
('worldline', 'c2'): [c2_segment],
("speed", "c2"): [1.0]
},
constant_symbol="c2")
delta_3.add_object("i2", {("spacetime_loc", "i2"): [i2_pos]},
constant_symbol="i2")
delta_3.add_object("q", {("spacetime_loc", "q"): [q_pos]},
constant_symbol="q")
delta_3.add_object("q_prime",
{("spacetime_loc", "q_prime"): [q_prime_pos]},
constant_symbol="q_prime")
delta_4 = vivid.diagram_reiteration(
vivid.Context(vivid.AssumptionBase(vocabulary), delta_3))
print "Creating named state delta 4:"
# print delta_4
print
meets_q_c2_m4 = vivid.Formula(vocabulary, 'meets', 'q', 'c2', 'm4')
speed_of_light_c2 = vivid.Formula(vocabulary, 'speed_of_light', 'c2')
delta_4_context = vivid.Context(vivid.AssumptionBase(vocabulary), delta_4)
print "Verifying third set of observations:"
assert (vivid.observe(delta_4_context, meets_q_c2_m4,
attribute_interpretation)
and vivid.observe(delta_4_context, speed_of_light_c2,
attribute_interpretation))
print "True"
print
print "Asserting thinning can derive delta 5 from delta 4, then creating delta 5:"
assert vivid.thinning(delta_4_context, delta_4)
print "True"
print
delta_5 = vivid.diagram_reiteration(delta_4_context)
meets_i1_m2_c1 = vivid.Formula(vocabulary, 'meets', 'i1', 'm2', 'c1')
meets_p_c1_c2 = vivid.Formula(vocabulary, 'meets', 'p', 'c1', 'c2')
meets_i2_c2_m4 = vivid.Formula(vocabulary, 'meets', 'i2', 'c2', 'm4')
not_same_spacetime_loc_q_qprime = vivid.Formula(vocabulary,
'not_same_spacetime', 'q',
'q_prime')
not_same_spacetime_loc_p_q = vivid.Formula(vocabulary,
'not_same_spacetime', 'p', 'q')
clocks_unequal_i1_i2 = vivid.Formula(vocabulary, 'clocks_unequal', 'i1',
'i2')
delta_5_context = vivid.Context(vivid.AssumptionBase(vocabulary), delta_5)
print "Verifying fourth set of observations:"
assert vivid.observe(delta_5_context, not_same_spacetime_loc_q_qprime,
attribute_interpretation)
assert vivid.observe(delta_5_context, not_same_spacetime_loc_p_q,
attribute_interpretation)
o_meets_i1_m2_c1 = vivid.observe(delta_5_context, meets_i1_m2_c1,
attribute_interpretation)
o_meets_p_c1_c2 = vivid.observe(delta_5_context, meets_p_c1_c2,
attribute_interpretation)
o_meets_i2_c2_m4 = vivid.observe(delta_5_context, meets_i2_c2_m4,
attribute_interpretation)
o_speed_of_light_c1 = vivid.observe(delta_5_context, speed_of_light_c1,
attribute_interpretation)
o_speed_of_light_c2 = vivid.observe(delta_5_context, speed_of_light_c2,
attribute_interpretation)
assert (meets_i1_m2_c1 and meets_p_c1_c2 and meets_i2_c2_m4
and o_speed_of_light_c1 and o_speed_of_light_c2)
o_clocks_unequal_i1_i2 = vivid.observe(delta_5_context,
clocks_unequal_i1_i2,
attribute_interpretation)
assert o_clocks_unequal_i1_i2
print "True"
print
meets_p_m2_m4 = vivid.Formula(vocabulary, 'meets', 'p', 'm2', 'm4')
o_meets_p_m2_m4 = vivid.observe(delta_5_context, meets_p_m2_m4,
attribute_interpretation)
o_same_frame_v2_v4 = vivid.observe(delta_5_context, same_frame_v2_v4,
attribute_interpretation)
print "verifying disjunction:"
disjunct = (o_same_frame_v2_v4
or (o_meets_p_m2_m4 and not o_same_frame_v2_v4)
or (o_meets_i1_m2_c1 and o_meets_p_c1_c2 and o_meets_i2_c2_m4
and o_speed_of_light_c1 and o_speed_of_light_c2))
assert disjunct
print "True"
print
print "verifying clocks are out of sync:"
out_of_sync = o_clocks_unequal_i1_i2 and disjunct
assert out_of_sync
print "True"
print
print "PROOF COMPLETE"
def main():
"""Simple toy proof."""
hours = vivid.Attribute("hours", [vivid.Interval(0, 23)])
minutes = vivid.Attribute("minutes", [vivid.Interval(0, 59)])
R3 = vivid.Relation('R3(h1,m1,h2,m2) <=> h1 > h2 or (h1 = h2 and m1 > m2)',
['hours', 'minutes', 'hours', 'minutes'], 3)
attribute_structure = vivid.AttributeStructure(hours, minutes, R3)
print "Creating Attribute Structure:"
print attribute_structure
print
Ahead = vivid.RelationSymbol("Ahead", 2)
vocabulary = vivid.Vocabulary(['c1', 'c2'], [Ahead], [])
print "Creating Vocabulary:"
print vocabulary
print
profiles = [[
Ahead, ('hours', 1), ('minutes', 1), ('hours', 2), ('minutes', 2)
]]
attribute_interpretation = vivid.AttributeInterpretation(
vocabulary, attribute_structure, {Ahead: 3}, profiles)
print "Creating Attribute Interpretation:"
print attribute_interpretation
print
attribute_system = vivid.AttributeSystem(attribute_structure, ['s1', 's2'])
print "Creating Attribute System:"
print attribute_system
print
p = vivid.ConstantAssignment(vocabulary, attribute_system, {
'c1': 's1',
'c2': 's2'
})
ascriptions = {
("hours", "s1"): [4, 5, 6],
("minutes", "s1"): [28],
("hours", "s2"): [5],
("minutes", "s2"): [45]
}
named_state = vivid.NamedState(attribute_system, p, ascriptions)
print "Creating Named State:"
print named_state
print
refined_ascriptions = {
("hours", "s1"): [6],
("minutes", "s1"): [28],
("hours", "s2"): [5],
("minutes", "s2"): [45]
}
refined_named_state = vivid.NamedState(attribute_system, p,
refined_ascriptions)
print "Attempting to refine to Named State via thinning:"
print refined_named_state
print
ahead_formula = vivid.Formula(vocabulary, "Ahead", "c1", "c2")
context = vivid.Context(vivid.AssumptionBase(ahead_formula), named_state)
print "Does thinning hold?:"
print vivid.thinning(context, refined_named_state,
vivid.AssumptionBase(ahead_formula),
attribute_interpretation)
def main():
"""Simple toy proof."""
hours = vivid.Attribute("hours", [vivid.Interval(0, 23)])
minutes = vivid.Attribute("minutes", [vivid.Interval(0, 59)])
R3 = vivid.Relation('R3(h1,m1,h2,m2) <=> h1 > h2 or (h1 = h2 and m1 > m2)',
['hours', 'minutes', 'hours', 'minutes'], 3)
attribute_structure = vivid.AttributeStructure(
hours, minutes, R3)
print "Creating Attribute Structure:"
print attribute_structure
print
Ahead = vivid.RelationSymbol("Ahead", 2)
vocabulary = vivid.Vocabulary(['c1', 'c2'], [Ahead], [])
print "Creating Vocabulary:"
print vocabulary
print
profiles = [
[Ahead, ('hours', 1), ('minutes', 1), ('hours', 2), ('minutes', 2)]]
attribute_interpretation = vivid.AttributeInterpretation(
vocabulary, attribute_structure, {Ahead: 3}, profiles)
print "Creating Attribute Interpretation:"
print attribute_interpretation
print
attribute_system = vivid.AttributeSystem(attribute_structure, ['s1', 's2'])
print "Creating Attribute System:"
print attribute_system
print
p = vivid.ConstantAssignment(vocabulary, attribute_system,
{'c1': 's1', 'c2': 's2'})
ascriptions = {("hours", "s1"): [4, 5, 6], ("minutes", "s1"): [28],
("hours", "s2"): [5], ("minutes", "s2"): [45]}
named_state = vivid.NamedState(attribute_system, p, ascriptions)
print "Creating Named State:"
print named_state
print
refined_ascriptions = {("hours", "s1"): [6], ("minutes", "s1"): [28],
("hours", "s2"): [5], ("minutes", "s2"): [45]}
refined_named_state = vivid.NamedState(attribute_system, p,
refined_ascriptions)
print "Attempting to refine to Named State via thinning:"
print refined_named_state
print
ahead_formula = vivid.Formula(vocabulary, "Ahead", "c1", "c2")
context = vivid.Context(vivid.AssumptionBase(ahead_formula), named_state)
print "Does thinning hold?:"
print vivid.thinning(context,
refined_named_state,
vivid.AssumptionBase(ahead_formula),
attribute_interpretation)
def main():
# Define Attributes, Relations and AttributeStructure
spacetime_loc = vivid.Attribute("spacetime_loc",
[vivid.Point("x", "x")])
speed = vivid.Attribute("speed", [vivid.Interval(0.0, 1.0)])
worldline = vivid.Attribute('worldline',
[vivid.LineSegment(vivid.Point('x', 'x'),
vivid.Point('x', 'x'))])
R1 = vivid.Relation(
"R1(sp, w1, w2) <=> meets(sp, w1, w2)",
["spacetime_loc", "worldline", "worldline"], subscript=1)
R2 = vivid.Relation("R2(v) <=> v = 1", ["speed"], subscript=2)
R3 = vivid.Relation("R3(sp1, sp2) <=> not_same_point(sp1, sp2)",
["spacetime_loc", "spacetime_loc"], subscript=3)
R4 = vivid.Relation("R4(v1, v2) <=> v1 = v2",
["speed", "speed"], subscript=4)
R5 = vivid.Relation("R5(sp1, sp2) <=> clocks_unequal(sp1, sp2)",
["spacetime_loc", "spacetime_loc"], subscript=5)
attribute_structure = vivid.AttributeStructure(
spacetime_loc, worldline, speed, R1, R2, R3, R4, R5)
print "Creating Attribute Structure:"
print attribute_structure
print
# define Vocabulary
meets = vivid.RelationSymbol("meets", 3)
speed_of_light = vivid.RelationSymbol("speed_of_light", 1)
not_same_spacetime_location = vivid.RelationSymbol("not_same_spacetime", 2)
in_same_frame = vivid.RelationSymbol("in_same_frame", 2)
clocks_unequal = vivid.RelationSymbol("clocks_unequal", 2)
vocabulary = vivid.Vocabulary(
["m1", "m2", "m3", "m4"],
[meets, speed_of_light, not_same_spacetime_location,
in_same_frame, clocks_unequal],
[])
print "Creating Vocabulary:"
print vocabulary
print
# define AttributeInterpretation
profiles = [
[meets, ("spacetime_loc", 1), ("worldline", 2), ("worldline", 3)],
[speed_of_light, ("speed", 1)],
[not_same_spacetime_location, ("spacetime_loc", 1),
("spacetime_loc", 2)],
[in_same_frame, ("speed", 1), ("speed", 2)],
[clocks_unequal, ("spacetime_loc", 1), ("spacetime_loc", 2)]]
attribute_interpretation = vivid.AttributeInterpretation(
vocabulary, attribute_structure,
{meets: 1, speed_of_light: 2, not_same_spacetime_location: 3,
in_same_frame: 4, clocks_unequal: 5},
profiles)
print "Creating Attribute Interpretation:"
print attribute_interpretation
print
# Create all the positions and lines ahead of time
m1_segment = vivid.LineSegment(vivid.Point(0.0, 0.0), vivid.Point(0.0, 0.0))
m2_segment = vivid.LineSegment(vivid.Point(-1.0, -2.0), vivid.Point(3.0, 6.0))
m3_segment = vivid.LineSegment(vivid.Point(0.0, -2.0), vivid.Point(4.0, 6.0))
m4_segment = vivid.LineSegment(vivid.Point(1.0, -2.0), vivid.Point(5.0, 6.0))
c1_segment = vivid.LineSegment(vivid.Point(-2.0, -2.0), vivid.Point(6.0, 6.0))
c2_segment = vivid.LineSegment(vivid.Point(0.0, 4.0), vivid.Point(6.0, -2.0))
i1_pos = vivid.Point(0.0, 0.0)
p_pos = vivid.Point(2.0, 2.0)
q_pos = vivid.Point(2.6666666667, 1.3333333333)
i2_pos = vivid.Point(2.6666666667, 1.3333333333)
q_prime_pos = vivid.Point(2.0, 0.0)
# Create initial named state delta 0
objects = ["m1", "m2", "m3", "m4"]
attribute_system = vivid.AttributeSystem(attribute_structure, objects)
print "Creating Attribute System:"
print attribute_system
print
const_mapping = {"m1": "m1", "m2": "m2", "m3": "m3", "m4": "m4"}
p = vivid.ConstantAssignment(vocabulary, attribute_system, const_mapping)
ascr = {
("worldline", "m1"): [m1_segment], ("speed", "m1"): [0.0],
("worldline", "m2"): [m2_segment], ("speed", "m2"): [1.0],
("worldline", "m3"): [m3_segment], ("speed", "m3"): [1.0],
("worldline", "m4"): [m4_segment], ("speed", "m4"): [1.0]}
delta_0 = vivid.NamedState(attribute_system, p, ascr)
delta_0.add_object("i1", {("spacetime_loc", "i1"): [i1_pos]},
constant_symbol="i1")
print "Creating Initial named state delta 0:"
# print delta_0
print
delta_1 = vivid.diagram_reiteration(
vivid.Context(vivid.AssumptionBase(vocabulary), delta_0))
print "Creating named state delta 1:"
# print delta_1
print
meets_i1_m1_m2 = vivid.Formula(vocabulary, "meets", "i1", "m1", "m2")
same_frame_v1_v2 = vivid.Formula(vocabulary, "in_same_frame", "m1", "m2")
same_frame_v2_v3 = vivid.Formula(vocabulary, "in_same_frame", "m2", "m3")
same_frame_v2_v4 = vivid.Formula(vocabulary, "in_same_frame", "m2", "m4")
same_frame_v3_v4 = vivid.Formula(vocabulary, "in_same_frame", "m3", "m4")
delta_1_context = vivid.Context(vivid.AssumptionBase(vocabulary), delta_1)
print "Verifying first set of observations:"
assert (vivid.observe(delta_1_context, meets_i1_m1_m2,
attribute_interpretation) and
not vivid.observe(delta_1_context, same_frame_v1_v2,
attribute_interpretation))
assert vivid.observe(delta_1_context, same_frame_v2_v3,
attribute_interpretation)
assert vivid.observe(delta_1_context, same_frame_v2_v4,
attribute_interpretation)
assert vivid.observe(delta_1_context, same_frame_v3_v4,
attribute_interpretation)
print "True"
print
# Add p and c1 to the diagram
delta_1.add_object("p", {("spacetime_loc", "p"): [p_pos]},
constant_symbol="p")
delta_1.add_object("c1", {("worldline", "c1"): [c1_segment],
("speed", "c1"): [1.0]},
constant_symbol="c1")
delta_2 = vivid.diagram_reiteration(
vivid.Context(vivid.AssumptionBase(vocabulary), delta_1))
print "Creating named state delta 2:"
# print delta_2
print
meets_p_c1_m3 = vivid.Formula(vocabulary, 'meets', 'p', 'c1', 'm3')
speed_of_light_c1 = vivid.Formula(vocabulary, 'speed_of_light', 'c1')
delta_2_context = vivid.Context(vivid.AssumptionBase(vocabulary), delta_2)
print "Verifying second set of observations:"
assert (vivid.observe(delta_2_context, meets_p_c1_m3,
attribute_interpretation) and
vivid.observe(delta_2_context, speed_of_light_c1,
attribute_interpretation))
print "True"
print
print "Asserting thinning can derive delta 3 from delta 2, then creating delta 3:"
assert vivid.thinning(delta_2_context, delta_2)
print "True"
print
delta_3 = vivid.diagram_reiteration(delta_2_context)
delta_3.add_object("c2", {('worldline', 'c2'): [c2_segment],
("speed", "c2"): [1.0]},
constant_symbol="c2")
delta_3.add_object("i2", {("spacetime_loc", "i2"): [i2_pos]},
constant_symbol="i2")
delta_3.add_object("q", {("spacetime_loc", "q"): [q_pos]},
constant_symbol="q")
delta_3.add_object("q_prime", {("spacetime_loc", "q_prime"): [q_prime_pos]},
constant_symbol="q_prime")
delta_4 = vivid.diagram_reiteration(vivid.Context(vivid.AssumptionBase(vocabulary), delta_3))
print "Creating named state delta 4:"
# print delta_4
print
meets_q_c2_m4 = vivid.Formula(vocabulary, 'meets', 'q', 'c2', 'm4')
speed_of_light_c2 = vivid.Formula(vocabulary, 'speed_of_light', 'c2')
delta_4_context = vivid.Context(vivid.AssumptionBase(vocabulary), delta_4)
print "Verifying third set of observations:"
assert (vivid.observe(delta_4_context, meets_q_c2_m4,
attribute_interpretation) and
vivid.observe(delta_4_context, speed_of_light_c2,
attribute_interpretation))
print "True"
print
print "Asserting thinning can derive delta 5 from delta 4, then creating delta 5:"
assert vivid.thinning(delta_4_context, delta_4)
print "True"
print
delta_5 = vivid.diagram_reiteration(delta_4_context)
meets_i1_m2_c1 = vivid.Formula(vocabulary, 'meets', 'i1', 'm2', 'c1')
meets_p_c1_c2 = vivid.Formula(vocabulary, 'meets', 'p', 'c1', 'c2')
meets_i2_c2_m4 = vivid.Formula(vocabulary, 'meets', 'i2', 'c2', 'm4')
not_same_spacetime_loc_q_qprime = vivid.Formula(vocabulary, 'not_same_spacetime', 'q', 'q_prime')
not_same_spacetime_loc_p_q = vivid.Formula(vocabulary, 'not_same_spacetime', 'p', 'q')
clocks_unequal_i1_i2 = vivid.Formula(vocabulary, 'clocks_unequal', 'i1', 'i2')
delta_5_context = vivid.Context(vivid.AssumptionBase(vocabulary), delta_5)
print "Verifying fourth set of observations:"
assert vivid.observe(delta_5_context, not_same_spacetime_loc_q_qprime,
attribute_interpretation)
assert vivid.observe(delta_5_context, not_same_spacetime_loc_p_q,
attribute_interpretation)
o_meets_i1_m2_c1 = vivid.observe(delta_5_context, meets_i1_m2_c1,
attribute_interpretation)
o_meets_p_c1_c2 = vivid.observe(delta_5_context, meets_p_c1_c2,
attribute_interpretation)
o_meets_i2_c2_m4 = vivid.observe(delta_5_context, meets_i2_c2_m4,
attribute_interpretation)
o_speed_of_light_c1 = vivid.observe(delta_5_context, speed_of_light_c1,
attribute_interpretation)
o_speed_of_light_c2 = vivid.observe(delta_5_context, speed_of_light_c2,
attribute_interpretation)
assert (meets_i1_m2_c1 and meets_p_c1_c2 and meets_i2_c2_m4 and
o_speed_of_light_c1 and o_speed_of_light_c2)
o_clocks_unequal_i1_i2 = vivid.observe(
delta_5_context, clocks_unequal_i1_i2, attribute_interpretation)
assert o_clocks_unequal_i1_i2
print "True"
print
meets_p_m2_m4 = vivid.Formula(vocabulary, 'meets', 'p', 'm2', 'm4')
o_meets_p_m2_m4 = vivid.observe(delta_5_context, meets_p_m2_m4,
attribute_interpretation)
o_same_frame_v2_v4 = vivid.observe(delta_5_context, same_frame_v2_v4,
attribute_interpretation)
print "verifying disjunction:"
disjunct = (o_same_frame_v2_v4 or
(o_meets_p_m2_m4 and not o_same_frame_v2_v4) or
(o_meets_i1_m2_c1 and o_meets_p_c1_c2 and o_meets_i2_c2_m4 and
o_speed_of_light_c1 and o_speed_of_light_c2))
assert disjunct
print "True"
print
print "verifying clocks are out of sync:"
out_of_sync = o_clocks_unequal_i1_i2 and disjunct
assert out_of_sync
print "True"
print
print "PROOF COMPLETE"
