{
"cases": [
{
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{
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},
{
"AGAINST": [
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],
"CLASS": "NAMED_GAP",
"GRADE": "NOT GRADED",
"ID": "RR-3",
"SOURCE": "IC2",
"STATE": "OPEN",
"STATEMENT": "The unknown DOF v is determined by no form (UNDER).",
"TRIGGER": "T"
},
{
"CLASS": "RESULT",
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"GRADE": "PROVISIONAL",
"ID": "RR-10",
"REFS": [
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"m",
"t",
"v",
"x"
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"REGIME": "L",
"ROLE": "EOM(v)"
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],
"tfk": {
"TMS": {
"CONSTANTS": [
{
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"VALUE": "1"
},
{
"NAME": "w_s",
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}
],
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"N_X": 2,
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},
"YARDSTICKS": [
{
"KEY": [
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"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": [],
"NAME": "combined_distance"
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},
"TPK": {
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{
"NAME": "A_kpos",
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"REFS": [
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},
{
"NAME": "A_mpos",
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"REFS": [
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}
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{
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"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
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"x_max"
]
}
],
"CONSTANT": [
{
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"NAME": "m"
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{
"DIMENSION": "M1 T-2",
"NAME": "k_s"
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{
"DIMENSION": "L1",
"NAME": "x_max",
"UNCERTAINTY": "0.001",
"UNIT": "m",
"VALUE": "0.05"
}
],
"CONSTRAINT": [
{
"ACTION": "FIX",
"NAME": "C_NOZ",
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"UNIT": "m",
"VALUE": "0"
}
],
"DOF": [
{
"DIMENSION": "T1",
"NAME": "t"
},
{
"DIMENSION": "L1",
"NAME": "x"
},
{
"DIMENSION": "L1 T-1",
"NAME": "v"
},
{
"DIMENSION": "L1",
"NAME": "z"
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],
"LAW": [
{
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"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"STATEMENT": "dx/dt = v"
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{
"EQUATION": "m * D(z, t, 2) = 0",
"NAME": "EOM_Z",
"REFS": [
"m",
"z",
"t"
],
"ROLE": "CONSTRAINT",
"STATEMENT": "m d2z/dt2 = 0"
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]
},
"TrM": {
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{
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{
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],
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},
{
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"FALSIFIER": "a measured velocity that differs from the rate of change of the measured x beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"IDENTIFICATION": "v is the rate of change of x with t",
"NAME": "E_v"
},
{
"BEARS": [
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"C_NOZ"
],
"DIMENSION": "L1",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "transverse_position",
"FALSIFIER": "a measured z different from 0 beyond its uncertainty",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "z is the displacement of the mass perpendicular to the spring axis",
"NAME": "E_z"
}
],
"HEADER": {
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{
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{
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"ENVIRONMENT_QUANTITY": "position"
},
{
"DIMENSION": "L1 T-1",
"ENVIRONMENT_QUANTITY": "velocity"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "transverse_position"
}
],
"SIGNATURE": [
{
"FORM": "D(x, t) = v",
"IMAGE": "d/dt maps position to velocity",
"IMAGE_FORM": "D(position, time) = velocity",
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
]
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
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]
}
}
},
"words": {
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"RR-11": "PROVISIONAL",
"RR-12": "PROVISIONAL",
"RR-13": "PROVISIONAL",
"RR-14": "PROVISIONAL",
"RR-2": "NOT GRADED",
"RR-3": "NOT GRADED"
}
},
"expected": "[\"OK\",{\"BY_NAMING\":[],\"BY_TEST\":[\"v\"],\"OPEN\":[],\"USED\":[\"RR-10\"]}]",
"fn": "settlement_check",
"name": "ST01 settled by the form"
},
{
"args": {
"naming": [],
"records": [
{
"AGAINST": [
"v"
],
"CLASS": "NAMED_GAP",
"GRADE": "NOT GRADED",
"ID": "RR-2",
"SOURCE": "UNDER",
"STATE": "OPEN",
"STATEMENT": "The unknown DOF v is determined by no form (UNDER).",
"TRIGGER": "T"
},
{
"CLASS": "ASSUMPTION",
"EQUATION": "m*D(v,t) = -k_s*x",
"GRADE": "PROVISIONAL",
"ID": "RR-14",
"PROPOSITION": "p",
"REFS": [
"k_s",
"m",
"t",
"v",
"x"
],
"ROLE": "EOM(v)"
}
],
"tfk": {
"TMS": {
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"PARAMETERS": {
"K": "2",
"N_X": 2,
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"S_MAX": 10
},
"YARDSTICKS": [
{
"KEY": [
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"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": [],
"NAME": "combined_distance"
}
]
},
"TPK": {
"ASSUMPTION": [
{
"NAME": "A_kpos",
"PROPOSITION": "k_s is positive",
"REFS": [
"k_s"
]
},
{
"NAME": "A_mpos",
"PROPOSITION": "m is positive",
"REFS": [
"m"
]
}
],
"BOUNDARY": [
{
"CONDITION": "abs(x) < x_max",
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
]
}
],
"CONSTANT": [
{
"DIMENSION": "M1",
"NAME": "m"
},
{
"DIMENSION": "M1 T-2",
"NAME": "k_s"
},
{
"DIMENSION": "L1",
"NAME": "x_max",
"UNCERTAINTY": "0.001",
"UNIT": "m",
"VALUE": "0.05"
}
],
"CONSTRAINT": [
{
"ACTION": "FIX",
"NAME": "C_NOZ",
"STATEMENT": "only motion on the spring axis is described: z = 0",
"TARGET": "z",
"UNIT": "m",
"VALUE": "0"
}
],
"DOF": [
{
"DIMENSION": "T1",
"NAME": "t"
},
{
"DIMENSION": "L1",
"NAME": "x"
},
{
"DIMENSION": "L1 T-1",
"NAME": "v"
},
{
"DIMENSION": "L1",
"NAME": "z"
}
],
"LAW": [
{
"EQUATION": "D(x, t) = v",
"NAME": "KIN",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"STATEMENT": "dx/dt = v"
},
{
"EQUATION": "m * D(z, t, 2) = 0",
"NAME": "EOM_Z",
"REFS": [
"m",
"z",
"t"
],
"ROLE": "CONSTRAINT",
"STATEMENT": "m d2z/dt2 = 0"
}
]
},
"TrM": {
"ENTRIES": [
{
"BEARS": [],
"DIMENSION": "T1",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
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"NAME": "E_t"
},
{
"BEARS": [
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],
"DIMENSION": "L1",
"DOF": "x",
"DOMAIN": "|x| < x_max",
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"FALSIFIER": "a measured spring force not proportional to x inside the domain",
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{
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"DOMAIN": "|x| < x_max",
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"FALSIFIER": "a measured velocity that differs from the rate of change of the measured x beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"IDENTIFICATION": "v is the rate of change of x with t",
"NAME": "E_v"
},
{
"BEARS": [
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"C_NOZ"
],
"DIMENSION": "L1",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "transverse_position",
"FALSIFIER": "a measured z different from 0 beyond its uncertainty",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "z is the displacement of the mass perpendicular to the spring axis",
"NAME": "E_z"
}
],
"HEADER": {
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{
"DIMENSION": "T1",
"ENVIRONMENT_QUANTITY": "time"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "position"
},
{
"DIMENSION": "L1 T-1",
"ENVIRONMENT_QUANTITY": "velocity"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "transverse_position"
}
],
"SIGNATURE": [
{
"FORM": "D(x, t) = v",
"IMAGE": "d/dt maps position to velocity",
"IMAGE_FORM": "D(position, time) = velocity",
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
]
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
}
}
},
"words": {
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"RR-11": "PROVISIONAL",
"RR-12": "PROVISIONAL",
"RR-13": "PROVISIONAL",
"RR-14": "PROVISIONAL",
"RR-2": "NOT GRADED",
"RR-3": "NOT GRADED"
}
},
"expected": "[\"OK\",{\"BY_NAMING\":[],\"BY_TEST\":[\"v\"],\"OPEN\":[],\"USED\":[\"RR-14\"]}]",
"fn": "settlement_check",
"name": "ST02 settled by an ASSUMPTION's form"
},
{
"args": {
"naming": [
[
"v",
"RR-11"
]
],
"records": [
{
"AGAINST": [
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],
"CLASS": "NAMED_GAP",
"GRADE": "NOT GRADED",
"ID": "RR-2",
"SOURCE": "UNDER",
"STATE": "OPEN",
"STATEMENT": "The unknown DOF v is determined by no form (UNDER).",
"TRIGGER": "T"
},
{
"CLASS": "RESULT",
"GRADE": "PROVISIONAL",
"ID": "RR-11",
"REGIME": "L",
"STATEMENT": "m dv/dt = -k_s x, derived in prose"
}
],
"tfk": {
"TMS": {
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"PARAMETERS": {
"K": "2",
"N_X": 2,
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"S_MAX": 10
},
"YARDSTICKS": [
{
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": [],
"NAME": "combined_distance"
}
]
},
"TPK": {
"ASSUMPTION": [
{
"NAME": "A_kpos",
"PROPOSITION": "k_s is positive",
"REFS": [
"k_s"
]
},
{
"NAME": "A_mpos",
"PROPOSITION": "m is positive",
"REFS": [
"m"
]
}
],
"BOUNDARY": [
{
"CONDITION": "abs(x) < x_max",
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
]
}
],
"CONSTANT": [
{
"DIMENSION": "M1",
"NAME": "m"
},
{
"DIMENSION": "M1 T-2",
"NAME": "k_s"
},
{
"DIMENSION": "L1",
"NAME": "x_max",
"UNCERTAINTY": "0.001",
"UNIT": "m",
"VALUE": "0.05"
}
],
"CONSTRAINT": [
{
"ACTION": "FIX",
"NAME": "C_NOZ",
"STATEMENT": "only motion on the spring axis is described: z = 0",
"TARGET": "z",
"UNIT": "m",
"VALUE": "0"
}
],
"DOF": [
{
"DIMENSION": "T1",
"NAME": "t"
},
{
"DIMENSION": "L1",
"NAME": "x"
},
{
"DIMENSION": "L1 T-1",
"NAME": "v"
},
{
"DIMENSION": "L1",
"NAME": "z"
}
],
"LAW": [
{
"EQUATION": "D(x, t) = v",
"NAME": "KIN",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"STATEMENT": "dx/dt = v"
},
{
"EQUATION": "m * D(z, t, 2) = 0",
"NAME": "EOM_Z",
"REFS": [
"m",
"z",
"t"
],
"ROLE": "CONSTRAINT",
"STATEMENT": "m d2z/dt2 = 0"
}
]
},
"TrM": {
"ENTRIES": [
{
"BEARS": [],
"DIMENSION": "T1",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"FALSIFIER": "a second clock whose readings differ from t by more than a constant offset beyond the stated uncertainty",
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{
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],
"DIMENSION": "L1",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
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"DOF": "v",
"DOMAIN": "|x| < x_max",
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"FALSIFIER": "a measured velocity that differs from the rate of change of the measured x beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"IDENTIFICATION": "v is the rate of change of x with t",
"NAME": "E_v"
},
{
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"C_NOZ"
],
"DIMENSION": "L1",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "transverse_position",
"FALSIFIER": "a measured z different from 0 beyond its uncertainty",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "z is the displacement of the mass perpendicular to the spring axis",
"NAME": "E_z"
}
],
"HEADER": {
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{
"DIMENSION": "T1",
"ENVIRONMENT_QUANTITY": "time"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "position"
},
{
"DIMENSION": "L1 T-1",
"ENVIRONMENT_QUANTITY": "velocity"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "transverse_position"
}
],
"SIGNATURE": [
{
"FORM": "D(x, t) = v",
"IMAGE": "d/dt maps position to velocity",
"IMAGE_FORM": "D(position, time) = velocity",
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
]
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
}
}
},
"words": {
"RR-10": "PROVISIONAL",
"RR-11": "PROVISIONAL",
"RR-12": "PROVISIONAL",
"RR-13": "PROVISIONAL",
"RR-14": "PROVISIONAL",
"RR-2": "NOT GRADED",
"RR-3": "NOT GRADED"
}
},
"expected": "[\"OK\",{\"BY_NAMING\":[[\"v\",\"RR-11\"]],\"BY_TEST\":[],\"OPEN\":[],\"USED\":[]}]",
"fn": "settlement_check",
"name": "ST03 settled by the lead's naming of a prose record"
},
{
"args": {
"naming": [
[
"v",
"RR-12"
]
],
"records": [
{
"AGAINST": [
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],
"CLASS": "NAMED_GAP",
"GRADE": "NOT GRADED",
"ID": "RR-2",
"SOURCE": "UNDER",
"STATE": "OPEN",
"STATEMENT": "The unknown DOF v is determined by no form (UNDER).",
"TRIGGER": "T"
},
{
"CLASS": "RESULT",
"EQUATION": "m*v = m*v",
"GRADE": "PROVISIONAL",
"ID": "RR-12",
"REFS": [
"m",
"v"
],
"REGIME": "L",
"ROLE": "INVARIANT"
}
],
"tfk": {
"TMS": {
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"PARAMETERS": {
"K": "2",
"N_X": 2,
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"S_MAX": 10
},
"YARDSTICKS": [
{
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": [],
"NAME": "combined_distance"
}
]
},
"TPK": {
"ASSUMPTION": [
{
"NAME": "A_kpos",
"PROPOSITION": "k_s is positive",
"REFS": [
"k_s"
]
},
{
"NAME": "A_mpos",
"PROPOSITION": "m is positive",
"REFS": [
"m"
]
}
],
"BOUNDARY": [
{
"CONDITION": "abs(x) < x_max",
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
]
}
],
"CONSTANT": [
{
"DIMENSION": "M1",
"NAME": "m"
},
{
"DIMENSION": "M1 T-2",
"NAME": "k_s"
},
{
"DIMENSION": "L1",
"NAME": "x_max",
"UNCERTAINTY": "0.001",
"UNIT": "m",
"VALUE": "0.05"
}
],
"CONSTRAINT": [
{
"ACTION": "FIX",
"NAME": "C_NOZ",
"STATEMENT": "only motion on the spring axis is described: z = 0",
"TARGET": "z",
"UNIT": "m",
"VALUE": "0"
}
],
"DOF": [
{
"DIMENSION": "T1",
"NAME": "t"
},
{
"DIMENSION": "L1",
"NAME": "x"
},
{
"DIMENSION": "L1 T-1",
"NAME": "v"
},
{
"DIMENSION": "L1",
"NAME": "z"
}
],
"LAW": [
{
"EQUATION": "D(x, t) = v",
"NAME": "KIN",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"STATEMENT": "dx/dt = v"
},
{
"EQUATION": "m * D(z, t, 2) = 0",
"NAME": "EOM_Z",
"REFS": [
"m",
"z",
"t"
],
"ROLE": "CONSTRAINT",
"STATEMENT": "m d2z/dt2 = 0"
}
]
},
"TrM": {
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{
"BEARS": [],
"DIMENSION": "T1",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"FALSIFIER": "a second clock whose readings differ from t by more than a constant offset beyond the stated uncertainty",
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"IDENTIFICATION": "t is the reading of a laboratory clock from an arbitrary origin",
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},
{
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],
"DIMENSION": "L1",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"FALSIFIER": "a measured spring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "x is the displacement of the mass along the spring axis from the point where the spring exerts no force",
"NAME": "E_x"
},
{
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"FALSIFIER": "a measured velocity that differs from the rate of change of the measured x beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"IDENTIFICATION": "v is the rate of change of x with t",
"NAME": "E_v"
},
{
"BEARS": [
"EOM_Z",
"C_NOZ"
],
"DIMENSION": "L1",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "transverse_position",
"FALSIFIER": "a measured z different from 0 beyond its uncertainty",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "z is the displacement of the mass perpendicular to the spring axis",
"NAME": "E_z"
}
],
"HEADER": {
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{
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"ENVIRONMENT_QUANTITY": "time"
},
{
"DIMENSION": "L1",
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},
{
"DIMENSION": "L1 T-1",
"ENVIRONMENT_QUANTITY": "velocity"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "transverse_position"
}
],
"SIGNATURE": [
{
"FORM": "D(x, t) = v",
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"IMAGE_FORM": "D(position, time) = velocity",
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
]
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
}
}
},
"words": {
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"RR-11": "PROVISIONAL",
"RR-12": "PROVISIONAL",
"RR-13": "PROVISIONAL",
"RR-14": "PROVISIONAL",
"RR-2": "NOT GRADED",
"RR-3": "NOT GRADED"
}
},
"expected": "[\"REFUSED\",[[\"REC-88\",\"-\",\"RECORD_ID RR-12 carries a form; it settles by the test alone\"]]]",
"fn": "settlement_check",
"name": "ST04 REC-88 a naming of a formed record"
},
{
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[
"x",
"RR-11"
]
],
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{
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],
"CLASS": "NAMED_GAP",
"GRADE": "NOT GRADED",
"ID": "RR-2",
"SOURCE": "UNDER",
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},
{
"AGAINST": [
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],
"CLASS": "NAMED_GAP",
"GRADE": "NOT GRADED",
"ID": "RR-3",
"SOURCE": "IC2",
"STATE": "OPEN",
"STATEMENT": "The unknown DOF v is determined by no form (UNDER).",
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},
{
"CLASS": "RESULT",
"GRADE": "PROVISIONAL",
"ID": "RR-11",
"REGIME": "L",
"STATEMENT": "m dv/dt = -k_s x, derived in prose"
}
],
"tfk": {
"TMS": {
"CONSTANTS": [
{
"NAME": "w_a",
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},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"PARAMETERS": {
"K": "2",
"N_X": 2,
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"S_MAX": 10
},
"YARDSTICKS": [
{
"KEY": [
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"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": [],
"NAME": "combined_distance"
}
]
},
"TPK": {
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{
"NAME": "A_kpos",
"PROPOSITION": "k_s is positive",
"REFS": [
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},
{
"NAME": "A_mpos",
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}
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{
"CONDITION": "abs(x) < x_max",
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
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"x_max"
]
}
],
"CONSTANT": [
{
"DIMENSION": "M1",
"NAME": "m"
},
{
"DIMENSION": "M1 T-2",
"NAME": "k_s"
},
{
"DIMENSION": "L1",
"NAME": "x_max",
"UNCERTAINTY": "0.001",
"UNIT": "m",
"VALUE": "0.05"
}
],
"CONSTRAINT": [
{
"ACTION": "FIX",
"NAME": "C_NOZ",
"STATEMENT": "only motion on the spring axis is described: z = 0",
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"UNIT": "m",
"VALUE": "0"
}
],
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{
"DIMENSION": "T1",
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{
"DIMENSION": "L1",
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},
{
"DIMENSION": "L1 T-1",
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},
{
"DIMENSION": "L1",
"NAME": "z"
}
],
"LAW": [
{
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"x",
"v",
"t"
],
"ROLE": "EOM(x)",
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},
{
"EQUATION": "m * D(z, t, 2) = 0",
"NAME": "EOM_Z",
"REFS": [
"m",
"z",
"t"
],
"ROLE": "CONSTRAINT",
"STATEMENT": "m d2z/dt2 = 0"
}
]
},
"TrM": {
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{
"BEARS": [],
"DIMENSION": "T1",
"DOF": "t",
"DOMAIN": "always",
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},
{
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"KIN"
],
"DIMENSION": "L1",
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},
{
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],
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},
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"IDENTIFICATION": "z is the displacement of the mass perpendicular to the spring axis",
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}
],
"HEADER": {
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{
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},
{
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},
{
"DIMENSION": "L1 T-1",
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},
{
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}
],
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{
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"OVER": [
"x",
"v",
"t"
]
}
],
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]
}
}
},
"words": {
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"RR-11": "PROVISIONAL",
"RR-12": "PROVISIONAL",
"RR-13": "PROVISIONAL",
"RR-14": "PROVISIONAL",
"RR-2": "NOT GRADED",
"RR-3": "NOT GRADED"
}
},
"expected": "[\"REFUSED\",[[\"REC-86\",\"-\",\"UNKNOWN x is not an OPEN UNDER gap's DOF left open by the test\"]]]",
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"name": "ST05 REC-86 an unknown that is not an OPEN UNDER gap's DOF"
},
{
"args": {
"naming": [
[
"v",
"RR-11"
]
],
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{
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],
"CLASS": "NAMED_GAP",
"GRADE": "NOT GRADED",
"ID": "RR-2",
"SOURCE": "UNDER",
"STATE": "OPEN",
"STATEMENT": "The unknown DOF v is determined by no form (UNDER).",
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},
{
"CLASS": "RESULT",
"EQUATION": "m*D(v,t) = -k_s*x",
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"ID": "RR-10",
"REFS": [
"k_s",
"m",
"t",
"v",
"x"
],
"REGIME": "L",
"ROLE": "EOM(v)"
},
{
"CLASS": "RESULT",
"GRADE": "PROVISIONAL",
"ID": "RR-11",
"REGIME": "L",
"STATEMENT": "m dv/dt = -k_s x, derived in prose"
}
],
"tfk": {
"TMS": {
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"PARAMETERS": {
"K": "2",
"N_X": 2,
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"S_MAX": 10
},
"YARDSTICKS": [
{
"KEY": [
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"WSUM:w_a*A;w_s*S",
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],
"LIMITING": [],
"NAME": "combined_distance"
}
]
},
"TPK": {
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{
"NAME": "A_kpos",
"PROPOSITION": "k_s is positive",
"REFS": [
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]
},
{
"NAME": "A_mpos",
"PROPOSITION": "m is positive",
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}
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"BOUNDARY": [
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"CONDITION": "abs(x) < x_max",
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
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"x_max"
]
}
],
"CONSTANT": [
{
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"NAME": "m"
},
{
"DIMENSION": "M1 T-2",
"NAME": "k_s"
},
{
"DIMENSION": "L1",
"NAME": "x_max",
"UNCERTAINTY": "0.001",
"UNIT": "m",
"VALUE": "0.05"
}
],
"CONSTRAINT": [
{
"ACTION": "FIX",
"NAME": "C_NOZ",
"STATEMENT": "only motion on the spring axis is described: z = 0",
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"UNIT": "m",
"VALUE": "0"
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],
"DOF": [
{
"DIMENSION": "T1",
"NAME": "t"
},
{
"DIMENSION": "L1",
"NAME": "x"
},
{
"DIMENSION": "L1 T-1",
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},
{
"DIMENSION": "L1",
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],
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"REFS": [
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"v",
"t"
],
"ROLE": "EOM(x)",
"STATEMENT": "dx/dt = v"
},
{
"EQUATION": "m * D(z, t, 2) = 0",
"NAME": "EOM_Z",
"REFS": [
"m",
"z",
"t"
],
"ROLE": "CONSTRAINT",
"STATEMENT": "m d2z/dt2 = 0"
}
]
},
"TrM": {
"ENTRIES": [
{
"BEARS": [],
"DIMENSION": "T1",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"FALSIFIER": "a second clock whose readings differ from t by more than a constant offset beyond the stated uncertainty",
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},
{
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],
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{
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],
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},
{
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],
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"FALSIFIER_CLASS": "F3",
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}
],
"HEADER": {
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{
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},
{
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},
{
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},
{
"DIMENSION": "L1",
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}
],
"SIGNATURE": [
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}
],
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}
}
},
"words": {
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"RR-11": "PROVISIONAL",
"RR-12": "PROVISIONAL",
"RR-13": "PROVISIONAL",
"RR-14": "PROVISIONAL",
"RR-2": "NOT GRADED",
"RR-3": "NOT GRADED"
}
},
"expected": "[\"REFUSED\",[[\"REC-86\",\"-\",\"UNKNOWN v is not an OPEN UNDER gap's DOF left open by the test\"]]]",
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"name": "ST06 REC-86 an unknown the test settled"
},
{
"args": {
"naming": [],
"records": [
{
"AGAINST": [
"v"
],
"CLASS": "NAMED_GAP",
"GRADE": "NOT GRADED",
"ID": "RR-2",
"SOURCE": "UNDER",
"STATE": "OPEN",
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},
{
"CLASS": "RESULT",
"EQUATION": "m*D(v,t) = -k_s*x",
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"ID": "RR-10",
"REFS": [
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"m",
"t",
"v",
"x"
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],
"tfk": {
"TMS": {
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"PARAMETERS": {
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"N_X": 2,
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"S_MAX": 10
},
"YARDSTICKS": [
{
"KEY": [
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"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": [],
"NAME": "combined_distance"
}
]
},
"TPK": {
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{
"NAME": "A_kpos",
"PROPOSITION": "k_s is positive",
"REFS": [
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]
},
{
"NAME": "A_mpos",
"PROPOSITION": "m is positive",
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}
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"PREDICATE": "|x| < x_max",
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]
}
],
"CONSTANT": [
{
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"NAME": "m"
},
{
"DIMENSION": "M1 T-2",
"NAME": "k_s"
},
{
"DIMENSION": "L1",
"NAME": "x_max",
"UNCERTAINTY": "0.001",
"UNIT": "m",
"VALUE": "0.05"
}
],
"CONSTRAINT": [
{
"ACTION": "FIX",
"NAME": "C_NOZ",
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"UNIT": "m",
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{
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],
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"v",
"t"
],
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{
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"REFS": [
"m",
"z",
"t"
],
"ROLE": "CONSTRAINT",
"STATEMENT": "m d2z/dt2 = 0"
}
]
},
"TrM": {
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{
"BEARS": [],
"DIMENSION": "T1",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
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},
{
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],
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},
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],
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}
],
"HEADER": {
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},
{
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},
{
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},
{
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],
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}
],
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},
"words": {
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"RR-13": "PROVISIONAL",
"RR-14": "PROVISIONAL",
"RR-2": "NOT GRADED",
"RR-3": "NOT GRADED"
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},
"expected": "[\"OK\",{\"BY_NAMING\":[],\"BY_TEST\":[],\"OPEN\":[\"v\"],\"USED\":[]}]",
"fn": "settlement_check",
"name": "ST07 a HELD settling record: not standing, not settled"
},
{
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"records": [
{
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},
{
"CLASS": "RESULT",
"EQUATION": "m*D(v,t) = -k_s*x",
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"ID": "RR-10",
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"m",
"t",
"v",
"x"
],
"REGIME": "L",
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],
"tfk": {
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"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"PARAMETERS": {
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"N_X": 2,
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
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},
"YARDSTICKS": [
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},
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{
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}
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{
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},
{
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"UNIT": "m",
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{
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],
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{
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{
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},
{
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],
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{
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"v",
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],
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{
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"z",
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],
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},
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{
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{
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}
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"RR-13": "PROVISIONAL",
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},
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{
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{
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"RR-3": "NOT GRADED"
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},
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{
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},
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"v",
"t"
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}
],
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}
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},
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"RR-11": "PROVISIONAL",
"RR-12": "PROVISIONAL",
"RR-13": "PROVISIONAL",
"RR-14": "PROVISIONAL",
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"RR-3": "NOT GRADED"
}
},
"expected": "[\"REFUSED\",[[\"REC-84\",\"-\",\"naming is not a sorted list of [UNKNOWN, RECORD_ID] pairs\"]]]",
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{
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},
{
"CLASS": "RESULT",
"GRADE": "PROVISIONAL",
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{
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{
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{
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{
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{
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"RR-13": "PROVISIONAL",
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},
"expected": "[\"REFUSED\",[[\"REC-87\",\"-\",\"RECORD_ID RR-11 is not a standing record of the register\"]]]",
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{
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"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "t is the reading of a laboratory clock from an arbitrary origin",
"NAME": "E_t"
},
{
"BEARS": [
"KIN"
],
"DIMENSION": "L1",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"FALSIFIER": "a measured spring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "x is the displacement of the mass along the spring axis from the point where the spring exerts no force",
"NAME": "E_x"
},
{
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"FALSIFIER": "a measured velocity that differs from the rate of change of the measured x beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"IDENTIFICATION": "v is the rate of change of x with t",
"NAME": "E_v"
},
{
"BEARS": [
"EOM_Z",
"C_NOZ"
],
"DIMENSION": "L1",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "transverse_position",
"FALSIFIER": "a measured z different from 0 beyond its uncertainty",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "z is the displacement of the mass perpendicular to the spring axis",
"NAME": "E_z"
}
],
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"DIMENSION": "T1",
"ENVIRONMENT_QUANTITY": "time"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "position"
},
{
"DIMENSION": "L1 T-1",
"ENVIRONMENT_QUANTITY": "velocity"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "transverse_position"
}
],
"SIGNATURE": [
{
"FORM": "D(x, t) = v",
"IMAGE": "d/dt maps position to velocity",
"IMAGE_FORM": "D(position, time) = velocity",
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
]
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
}
}
},
"words": {
"RR-10": "PROVISIONAL",
"RR-11": "PROVISIONAL",
"RR-12": "PROVISIONAL",
"RR-13": "PROVISIONAL",
"RR-14": "PROVISIONAL",
"RR-2": "NOT GRADED",
"RR-3": "NOT GRADED"
}
},
"expected": "[\"REFUSED\",[[\"REC-85\",\"-\",\"the structure test refused: RECORD:RR-13: EQUATION names k_q, which is not a DOF or CONSTANT\"]]]",
"fn": "settlement_check",
"name": "ST15 REC-85 the structure test refuses"
},
{
"args": {
"naming": [],
"records": [
{
"AGAINST": [
"v"
],
"CLASS": "NAMED_GAP",
"GRADE": "NOT GRADED",
"ID": "RR-2",
"SOURCE": "UNDER",
"STATE": "OPEN",
"STATEMENT": "The unknown DOF v is determined by no form (UNDER).",
"TRIGGER": "T"
},
{
"CLASS": "RESULT",
"EQUATION": "m*D(v,t) = -k_s*x",
"GRADE": "PROVISIONAL",
"ID": "RR-15",
"REFS": [
"k_s",
"m",
"t",
"v",
"x"
],
"REGIME": "L"
}
],
"tfk": {
"TMS": {
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"PARAMETERS": {
"K": "2",
"N_X": 2,
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"S_MAX": 10
},
"YARDSTICKS": [
{
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": [],
"NAME": "combined_distance"
}
]
},
"TPK": {
"ASSUMPTION": [
{
"NAME": "A_kpos",
"PROPOSITION": "k_s is positive",
"REFS": [
"k_s"
]
},
{
"NAME": "A_mpos",
"PROPOSITION": "m is positive",
"REFS": [
"m"
]
}
],
"BOUNDARY": [
{
"CONDITION": "abs(x) < x_max",
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
]
}
],
"CONSTANT": [
{
"DIMENSION": "M1",
"NAME": "m"
},
{
"DIMENSION": "M1 T-2",
"NAME": "k_s"
},
{
"DIMENSION": "L1",
"NAME": "x_max",
"UNCERTAINTY": "0.001",
"UNIT": "m",
"VALUE": "0.05"
}
],
"CONSTRAINT": [
{
"ACTION": "FIX",
"NAME": "C_NOZ",
"STATEMENT": "only motion on the spring axis is described: z = 0",
"TARGET": "z",
"UNIT": "m",
"VALUE": "0"
}
],
"DOF": [
{
"DIMENSION": "T1",
"NAME": "t"
},
{
"DIMENSION": "L1",
"NAME": "x"
},
{
"DIMENSION": "L1 T-1",
"NAME": "v"
},
{
"DIMENSION": "L1",
"NAME": "z"
}
],
"LAW": [
{
"EQUATION": "D(x, t) = v",
"NAME": "KIN",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"STATEMENT": "dx/dt = v"
},
{
"EQUATION": "m * D(z, t, 2) = 0",
"NAME": "EOM_Z",
"REFS": [
"m",
"z",
"t"
],
"ROLE": "CONSTRAINT",
"STATEMENT": "m d2z/dt2 = 0"
}
]
},
"TrM": {
"ENTRIES": [
{
"BEARS": [],
"DIMENSION": "T1",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"FALSIFIER": "a second clock whose readings differ from t by more than a constant offset beyond the stated uncertainty",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "t is the reading of a laboratory clock from an arbitrary origin",
"NAME": "E_t"
},
{
"BEARS": [
"KIN"
],
"DIMENSION": "L1",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"FALSIFIER": "a measured spring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "x is the displacement of the mass along the spring axis from the point where the spring exerts no force",
"NAME": "E_x"
},
{
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"FALSIFIER": "a measured velocity that differs from the rate of change of the measured x beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"IDENTIFICATION": "v is the rate of change of x with t",
"NAME": "E_v"
},
{
"BEARS": [
"EOM_Z",
"C_NOZ"
],
"DIMENSION": "L1",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "transverse_position",
"FALSIFIER": "a measured z different from 0 beyond its uncertainty",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "z is the displacement of the mass perpendicular to the spring axis",
"NAME": "E_z"
}
],
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"DIMENSION": "T1",
"ENVIRONMENT_QUANTITY": "time"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "position"
},
{
"DIMENSION": "L1 T-1",
"ENVIRONMENT_QUANTITY": "velocity"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "transverse_position"
}
],
"SIGNATURE": [
{
"FORM": "D(x, t) = v",
"IMAGE": "d/dt maps position to velocity",
"IMAGE_FORM": "D(position, time) = velocity",
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
]
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
}
}
},
"words": {
"RR-10": "PROVISIONAL",
"RR-11": "PROVISIONAL",
"RR-12": "PROVISIONAL",
"RR-13": "PROVISIONAL",
"RR-14": "PROVISIONAL",
"RR-15": "PROVISIONAL",
"RR-2": "NOT GRADED",
"RR-3": "NOT GRADED"
}
},
"expected": "[\"OK\",{\"BY_NAMING\":[],\"BY_TEST\":[],\"OPEN\":[\"v\"],\"USED\":[]}]",
"fn": "settlement_check",
"name": "ST16 an EQUATION without ROLE enters no matching"
},
{
"args": {
"naming": [
[
"v",
"RR-12"
],
[
"w",
"RR-12"
]
],
"records": [
{
"AGAINST": [
"v"
],
"CLASS": "NAMED_GAP",
"GRADE": "NOT GRADED",
"ID": "RR-2",
"SOURCE": "UNDER",
"STATE": "OPEN",
"STATEMENT": "The unknown DOF v is determined by no form (UNDER).",
"TRIGGER": "T"
},
{
"CLASS": "RESULT",
"EQUATION": "m*v = m*v",
"GRADE": "PROVISIONAL",
"ID": "RR-12",
"REFS": [
"m",
"v"
],
"REGIME": "L",
"ROLE": "INVARIANT"
}
],
"tfk": {
"TMS": {
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"PARAMETERS": {
"K": "2",
"N_X": 2,
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"S_MAX": 10
},
"YARDSTICKS": [
{
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": [],
"NAME": "combined_distance"
}
]
},
"TPK": {
"ASSUMPTION": [
{
"NAME": "A_kpos",
"PROPOSITION": "k_s is positive",
"REFS": [
"k_s"
]
},
{
"NAME": "A_mpos",
"PROPOSITION": "m is positive",
"REFS": [
"m"
]
}
],
"BOUNDARY": [
{
"CONDITION": "abs(x) < x_max",
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
]
}
],
"CONSTANT": [
{
"DIMENSION": "M1",
"NAME": "m"
},
{
"DIMENSION": "M1 T-2",
"NAME": "k_s"
},
{
"DIMENSION": "L1",
"NAME": "x_max",
"UNCERTAINTY": "0.001",
"UNIT": "m",
"VALUE": "0.05"
}
],
"CONSTRAINT": [
{
"ACTION": "FIX",
"NAME": "C_NOZ",
"STATEMENT": "only motion on the spring axis is described: z = 0",
"TARGET": "z",
"UNIT": "m",
"VALUE": "0"
}
],
"DOF": [
{
"DIMENSION": "T1",
"NAME": "t"
},
{
"DIMENSION": "L1",
"NAME": "x"
},
{
"DIMENSION": "L1 T-1",
"NAME": "v"
},
{
"DIMENSION": "L1",
"NAME": "z"
}
],
"LAW": [
{
"EQUATION": "D(x, t) = v",
"NAME": "KIN",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"STATEMENT": "dx/dt = v"
},
{
"EQUATION": "m * D(z, t, 2) = 0",
"NAME": "EOM_Z",
"REFS": [
"m",
"z",
"t"
],
"ROLE": "CONSTRAINT",
"STATEMENT": "m d2z/dt2 = 0"
}
]
},
"TrM": {
"ENTRIES": [
{
"BEARS": [],
"DIMENSION": "T1",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"FALSIFIER": "a second clock whose readings differ from t by more than a constant offset beyond the stated uncertainty",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "t is the reading of a laboratory clock from an arbitrary origin",
"NAME": "E_t"
},
{
"BEARS": [
"KIN"
],
"DIMENSION": "L1",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"FALSIFIER": "a measured spring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "x is the displacement of the mass along the spring axis from the point where the spring exerts no force",
"NAME": "E_x"
},
{
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"FALSIFIER": "a measured velocity that differs from the rate of change of the measured x beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"IDENTIFICATION": "v is the rate of change of x with t",
"NAME": "E_v"
},
{
"BEARS": [
"EOM_Z",
"C_NOZ"
],
"DIMENSION": "L1",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "transverse_position",
"FALSIFIER": "a measured z different from 0 beyond its uncertainty",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "z is the displacement of the mass perpendicular to the spring axis",
"NAME": "E_z"
}
],
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"DIMENSION": "T1",
"ENVIRONMENT_QUANTITY": "time"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "position"
},
{
"DIMENSION": "L1 T-1",
"ENVIRONMENT_QUANTITY": "velocity"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "transverse_position"
}
],
"SIGNATURE": [
{
"FORM": "D(x, t) = v",
"IMAGE": "d/dt maps position to velocity",
"IMAGE_FORM": "D(position, time) = velocity",
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
]
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
}
}
},
"words": {
"RR-10": "PROVISIONAL",
"RR-11": "PROVISIONAL",
"RR-12": "PROVISIONAL",
"RR-13": "PROVISIONAL",
"RR-14": "PROVISIONAL",
"RR-2": "NOT GRADED",
"RR-3": "NOT GRADED"
}
},
"expected": "[\"REFUSED\",[[\"REC-86\",\"-\",\"UNKNOWN w is not an OPEN UNDER gap's DOF left open by the test\"],[\"REC-88\",\"-\",\"RECORD_ID RR-12 carries a form; it settles by the test alone\"]]]",
"fn": "settlement_check",
"name": "ST17 two naming failures reported together"
}
],
"corpus": "settlement",
"note": "vectors first: every expectation a literal of the generator; the structure test's answers pinned from the existing eom_register_test",
"spec": "tpm_record_functions 0.2.0 section 12 (tpc_eom 0.2.0)",
"version": "0.1.0"
}
