float_quat_of_rmat_assert.json 9.06 KB
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[ { "header": "Definition", "tactic": "Wp.unfold", "params": {},
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    "select": { "select": "inside-step", "at": 2, "kind": "have", "occur": 0,
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                "target": "(L_l_RMat_of_FloatRMat Mf32_6 rm_0)",
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                "pattern": "L_l_RMat_of_FloatRMat$Mf32$rm" },
    "children": { "Unfold 'L_l_RMat_of_FloatRMat'": [ { "header": "Definition",
                                                        "tactic": "Wp.unfold",
                                                        "params": {},
                                                        "select": { "select": "inside-step",
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                                                                    "at": 2,
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                                                                    "kind": "have",
                                                                    "occur": 0,
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                                                                    "target": "let a_0 = (shiftfield_F9_FloatRMat_m rm_0) in\n(P_rotation_matrix\n  {\n     F12_RealRMat_s_a00 = Mf32_6[(shift_float32 a_0 0)] ;\n     F12_RealRMat_s_a01 = Mf32_6[(shift_float32 a_0 1)] ;\n     F12_RealRMat_s_a02 = Mf32_6[(shift_float32 a_0 2)] ;\n     F12_RealRMat_s_a10 = Mf32_6[(shift_float32 a_0 3)] ;\n     F12_RealRMat_s_a11 = Mf32_6[(shift_float32 a_0 4)] ;\n     F12_RealRMat_s_a12 = Mf32_6[(shift_float32 a_0 5)] ;\n     F12_RealRMat_s_a20 = Mf32_6[(shift_float32 a_0 6)] ;\n     F12_RealRMat_s_a21 = Mf32_6[(shift_float32 a_0 7)] ;\n     F12_RealRMat_s_a22 = Mf32_6[(shift_float32 a_0 8)]\n  })",
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                                                                    "pattern": "P_rotation_matrix{RealRMat_s}[][]" },
                                                        "children": { "Unfold 'P_rotation_matrix'": 
                                                                    [ { "header": "Definition",
                                                                    "tactic": "Wp.unfold",
                                                                    "params": {},
                                                                    "select": 
                                                                    { "select": "inside-step",
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                                                                    "at": 2,
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                                                                    "kind": "have",
                                                                    "occur": 0,
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                                                                    "target": "let a_0 = (shiftfield_F9_FloatRMat_m rm_0) in\n(L_transpose\n  {\n     F12_RealRMat_s_a00 = Mf32_6[(shift_float32 a_0 0)] ;\n     F12_RealRMat_s_a01 = Mf32_6[(shift_float32 a_0 1)] ;\n     F12_RealRMat_s_a02 = Mf32_6[(shift_float32 a_0 2)] ;\n     F12_RealRMat_s_a10 = Mf32_6[(shift_float32 a_0 3)] ;\n     F12_RealRMat_s_a11 = Mf32_6[(shift_float32 a_0 4)] ;\n     F12_RealRMat_s_a12 = Mf32_6[(shift_float32 a_0 5)] ;\n     F12_RealRMat_s_a20 = Mf32_6[(shift_float32 a_0 6)] ;\n     F12_RealRMat_s_a21 = Mf32_6[(shift_float32 a_0 7)] ;\n     F12_RealRMat_s_a22 = Mf32_6[(shift_float32 a_0 8)]\n  })",
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                                                                    "pattern": "L_transpose{RealRMat_s}[][][][][]" },
                                                                    "children": 
                                                                    { "Unfold 'L_transpose'": 
                                                                    [ { "header": "Definition",
                                                                    "tactic": "Wp.unfold",
                                                                    "params": {},
                                                                    "select": 
                                                                    { "select": "inside-step",
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                                                                    "at": 2,
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                                                                    "kind": "have",
                                                                    "occur": 0,
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                                                                    "target": "let a_0 = (shiftfield_F9_FloatRMat_m rm_0) in\nlet r_0 = Mf32_6[(shift_float32 a_0 0)] in\nlet r_1 = Mf32_6[(shift_float32 a_0 1)] in\nlet r_2 = Mf32_6[(shift_float32 a_0 2)] in\nlet r_3 = Mf32_6[(shift_float32 a_0 3)] in\nlet r_4 = Mf32_6[(shift_float32 a_0 4)] in\nlet r_5 = Mf32_6[(shift_float32 a_0 5)] in\nlet r_6 = Mf32_6[(shift_float32 a_0 6)] in\nlet r_7 = Mf32_6[(shift_float32 a_0 7)] in\nlet r_8 = Mf32_6[(shift_float32 a_0 8)] in\n(L_mult_RealRMat\n  {\n     F12_RealRMat_s_a00 = r_0 ;\n     F12_RealRMat_s_a01 = r_1 ;\n     F12_RealRMat_s_a02 = r_2 ;\n     F12_RealRMat_s_a10 = r_3 ;\n     F12_RealRMat_s_a11 = r_4 ;\n     F12_RealRMat_s_a12 = r_5 ;\n     F12_RealRMat_s_a20 = r_6 ;\n     F12_RealRMat_s_a21 = r_7 ;\n     F12_RealRMat_s_a22 = r_8\n  }\n  {\n     F12_RealRMat_s_a00 = r_0 ;\n     F12_RealRMat_s_a01 = r_3 ;\n     F12_RealRMat_s_a02 = r_6 ;\n     F12_RealRMat_s_a10 = r_1 ;\n     F12_RealRMat_s_a11 = r_4 ;\n     F12_RealRMat_s_a12 = r_7 ;\n     F12_RealRMat_s_a20 = r_2 ;\n     F12_RealRMat_s_a21 = r_5 ;\n     F12_RealRMat_s_a22 = r_8\n  })",
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                                                                    "pattern": "L_mult_RealRMat{RealRMat_s}{RealRMat_s}" },
                                                                    "children": 
                                                                    { "Unfold 'L_mult_RealRMat'": 
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                                                                    [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
                                                                    "verdict": "valid",
                                                                    "time": 0.25 },
                                                                    { "header": "Definition",
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                                                                    "tactic": "Wp.unfold",
                                                                    "params": {},
                                                                    "select": 
                                                                    { "select": "inside-step",
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                                                                    "at": 4,
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                                                                    "kind": "have",
                                                                    "occur": 0,
                                                                    "target": "let a_0 = (shiftfield_F6_FloatRMat_m rm_0) in\nlet r_0 = Mf32_6[(shift_float32 a_0 0)] in\nlet r_1 = Mf32_6[(shift_float32 a_0 1)] in\nlet r_2 = Mf32_6[(shift_float32 a_0 2)] in\nlet r_3 = Mf32_6[(shift_float32 a_0 3)] in\nlet r_4 = Mf32_6[(shift_float32 a_0 4)] in\nlet r_5 = Mf32_6[(shift_float32 a_0 5)] in\nlet r_6 = ((r_0*r_3)+(r_1*r_4)+(r_2*r_5)) in\nlet r_7 = Mf32_6[(shift_float32 a_0 6)] in\nlet r_8 = Mf32_6[(shift_float32 a_0 7)] in\nlet r_9 = Mf32_6[(shift_float32 a_0 8)] in\nlet r_10 = ((r_0*r_7)+(r_1*r_8)+(r_2*r_9)) in\nlet r_11 = ((r_3*r_7)+(r_4*r_8)+(r_5*r_9)) in\n(EqS9_RealRMat_s\n  {\n     F9_RealRMat_s_a00 = (r_0*r_0)+(r_1*r_1)+(r_2*r_2) ;\n     F9_RealRMat_s_a01 = r_6 ;\n     F9_RealRMat_s_a02 = r_10 ;\n     F9_RealRMat_s_a10 = r_6 ;\n     F9_RealRMat_s_a11 = (r_3*r_3)+(r_4*r_4)+(r_5*r_5) ;\n     F9_RealRMat_s_a12 = r_11 ;\n     F9_RealRMat_s_a20 = r_10 ;\n     F9_RealRMat_s_a21 = r_11 ;\n     F9_RealRMat_s_a22 = (r_7*r_7)+(r_8*r_8)+(r_9*r_9)\n  } L_id_rmat)",
                                                                    "pattern": "EqS9_RealRMat_s{RealRMat_s}L_id_rmat" },
                                                                    "children": 
                                                                    { "Unfold 'EqS9_RealRMat_s'": 
                                                                    [ { "header": "Definition",
                                                                    "tactic": "Wp.unfold",
                                                                    "params": {},
                                                                    "select": 
                                                                    { "select": "inside-step",
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                                                                    "at": 4,
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                                                                    "kind": "have",
                                                                    "occur": 0,
                                                                    "target": "L_id_rmat",
                                                                    "pattern": "L_id_rmat" },
                                                                    "children": 
                                                                    { "Unfold 'L_id_rmat'": 
                                                                    [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
                                                                    "verdict": "valid",
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                                                                    "time": 0.27 } ] } } ] } } ] } } ] } } ] } } ] } } ]