Commit b289ee40 authored by POLLIEN Baptiste's avatar POLLIEN Baptiste
Browse files

Proof rmat to quat formula

parent 857e39ff
This diff is collapsed.
...@@ -3,9 +3,9 @@ ...@@ -3,9 +3,9 @@
"target": "(separated rm_0 9 q_0 4)", "target": "(separated rm_0 9 q_0 4)",
"pattern": "separated$rm9$q4" }, "pattern": "separated$rm9$q4" },
"children": { "WrongBase": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples", "children": { "WrongBase": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "valid", "time": 0.83 } ], "verdict": "valid", "time": 1.3 } ],
"OnLeft": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples", "OnLeft": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "valid", "time": 3.87 } ], "verdict": "valid", "time": 5.04 } ],
"OnRight": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples", "OnRight": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "valid", "time": 3.77 } ], "verdict": "valid", "time": 5.74 } ],
"OverLap": [ { "prover": "qed", "verdict": "valid" } ] } } ] "OverLap": [ { "prover": "qed", "verdict": "valid" } ] } } ]
...@@ -3,9 +3,9 @@ ...@@ -3,9 +3,9 @@
"target": "(separated rm_0 9 q_0 4)", "target": "(separated rm_0 9 q_0 4)",
"pattern": "separated$rm9$q4" }, "pattern": "separated$rm9$q4" },
"children": { "WrongBase": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples", "children": { "WrongBase": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "valid", "time": 3.58 } ], "verdict": "valid", "time": 4.53 } ],
"OnLeft": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples", "OnLeft": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "valid", "time": 4.79 } ], "verdict": "valid", "time": 5.34 } ],
"OnRight": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples", "OnRight": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "valid", "time": 4.51 } ], "verdict": "valid", "time": 5.8 } ],
"OverLap": [ { "prover": "qed", "verdict": "valid" } ] } } ] "OverLap": [ { "prover": "qed", "verdict": "valid" } ] } } ]
...@@ -3,9 +3,21 @@ ...@@ -3,9 +3,21 @@
"target": "(separated rm_0 9 q_0 4)", "target": "(separated rm_0 9 q_0 4)",
"pattern": "separated$rm9$q4" }, "pattern": "separated$rm9$q4" },
"children": { "WrongBase": [ { "prover": "Alt-Ergo:2.3.3", "children": { "WrongBase": [ { "prover": "Alt-Ergo:2.3.3",
"verdict": "valid", "time": 12.4296, "verdict": "valid", "time": 22.5714,
"steps": 130 } ], "steps": 130 } ],
"OnLeft": [ { "header": "Definition", "OnLeft": [ { "prover": "Z3:4.8.6:noBV",
"verdict": "timeout", "time": 10. },
{ "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout", "time": 10. },
{ "prover": "Z3:4.8.6", "verdict": "timeout",
"time": 10. },
{ "prover": "Coq:8.12.2",
"verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout", "time": 10. },
{ "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout", "time": 10. },
{ "header": "Definition",
"tactic": "Wp.unfold", "params": {}, "tactic": "Wp.unfold", "params": {},
"select": { "select": "inside-step", "select": { "select": "inside-step",
"at": 3, "kind": "have", "at": 3, "kind": "have",
...@@ -16,7 +28,19 @@ ...@@ -16,7 +28,19 @@
[ { "prover": "CVC4:1.9-prerelease:strings+counterexamples", [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "valid", "verdict": "valid",
"time": 5.34 } ] } } ], "time": 5.34 } ] } } ],
"OnRight": [ { "header": "Definition", "OnRight": [ { "prover": "Z3:4.8.6:noBV",
"verdict": "timeout", "time": 10. },
{ "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout", "time": 10. },
{ "prover": "Z3:4.8.6", "verdict": "timeout",
"time": 10. },
{ "prover": "Coq:8.12.2",
"verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout", "time": 10. },
{ "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout", "time": 10. },
{ "header": "Definition",
"tactic": "Wp.unfold", "params": {}, "tactic": "Wp.unfold", "params": {},
"select": { "select": "inside-step", "select": { "select": "inside-step",
"at": 3, "kind": "have", "at": 3, "kind": "have",
......
...@@ -3,9 +3,9 @@ ...@@ -3,9 +3,9 @@
"target": "(separated rm_0 9 q_0 4)", "target": "(separated rm_0 9 q_0 4)",
"pattern": "separated$rm9$q4" }, "pattern": "separated$rm9$q4" },
"children": { "WrongBase": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples", "children": { "WrongBase": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "valid", "time": 6.71 } ], "verdict": "valid", "time": 6.31 } ],
"OnLeft": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples", "OnLeft": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "valid", "time": 12.49 } ], "verdict": "valid", "time": 10.62 } ],
"OnRight": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples", "OnRight": [ { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "valid", "time": 12.34 } ], "verdict": "valid", "time": 10.07 } ],
"OverLap": [ { "prover": "qed", "verdict": "valid" } ] } } ] "OverLap": [ { "prover": "qed", "verdict": "valid" } ] } } ]
...@@ -2,7 +2,24 @@ ...@@ -2,7 +2,24 @@
"select": { "select": "inside-goal", "occur": 0, "select": { "select": "inside-goal", "occur": 0,
"target": "let a_0 = (shiftfield_F9_FloatRMat_m rm_0) in\nlet r_0 = Mf32_1[(shiftfield_F7_FloatQuat_qi q_0)] in\nlet r_1 = (2*r_0*r_0) in\nlet r_2 = Mf32_1[(shiftfield_F7_FloatQuat_qx q_0)] in\nlet r_3 = Mf32_1[(shiftfield_F7_FloatQuat_qz q_0)] in\nlet r_4 = (2*r_0*r_3) in\nlet r_5 = Mf32_1[(shiftfield_F7_FloatQuat_qy q_0)] in\nlet r_6 = (2*r_2*r_5) in\nlet r_7 = (2*r_0*r_5) in\nlet r_8 = (2*r_2*r_3) in\nlet r_9 = (2*r_0*r_2) in\nlet r_10 = (2*r_5*r_3) in\n(L_transpose\n (L_l_RMat_of_FloatRMat\n Mf32_1[(shift_float32 a_0 0)->r_1+(2*r_2*r_2)-1][(shift_float32 a_0 1)\n ->r_4+r_6][(shift_float32 a_0 2)->r_8-r_7][(shift_float32 a_0 3)\n ->r_6-r_4][(shift_float32 a_0 4)->r_1+(2*r_5*r_5)-1]\n [(shift_float32 a_0 5)->r_9+r_10][(shift_float32 a_0 6)->r_7+r_8]\n [(shift_float32 a_0 7)->r_10-r_9][(shift_float32 a_0 8)\n ->r_1+(2*r_3*r_3)-1] rm_0))", "target": "let a_0 = (shiftfield_F9_FloatRMat_m rm_0) in\nlet r_0 = Mf32_1[(shiftfield_F7_FloatQuat_qi q_0)] in\nlet r_1 = (2*r_0*r_0) in\nlet r_2 = Mf32_1[(shiftfield_F7_FloatQuat_qx q_0)] in\nlet r_3 = Mf32_1[(shiftfield_F7_FloatQuat_qz q_0)] in\nlet r_4 = (2*r_0*r_3) in\nlet r_5 = Mf32_1[(shiftfield_F7_FloatQuat_qy q_0)] in\nlet r_6 = (2*r_2*r_5) in\nlet r_7 = (2*r_0*r_5) in\nlet r_8 = (2*r_2*r_3) in\nlet r_9 = (2*r_0*r_2) in\nlet r_10 = (2*r_5*r_3) in\n(L_transpose\n (L_l_RMat_of_FloatRMat\n Mf32_1[(shift_float32 a_0 0)->r_1+(2*r_2*r_2)-1][(shift_float32 a_0 1)\n ->r_4+r_6][(shift_float32 a_0 2)->r_8-r_7][(shift_float32 a_0 3)\n ->r_6-r_4][(shift_float32 a_0 4)->r_1+(2*r_5*r_5)-1]\n [(shift_float32 a_0 5)->r_9+r_10][(shift_float32 a_0 6)->r_7+r_8]\n [(shift_float32 a_0 7)->r_10-r_9][(shift_float32 a_0 8)\n ->r_1+(2*r_3*r_3)-1] rm_0))",
"pattern": "L_transposeL_l_RMat_of_FloatRMat" }, "pattern": "L_transposeL_l_RMat_of_FloatRMat" },
"children": { "Unfold 'L_transpose'": [ { "header": "Definition", "children": { "Unfold 'L_transpose'": [ { "prover": "Z3:4.8.6:noBV",
"verdict": "timeout",
"time": 10. },
{ "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout",
"time": 10. },
{ "prover": "Z3:4.8.6",
"verdict": "timeout",
"time": 10. },
{ "prover": "Coq:8.12.2",
"verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout",
"time": 10. },
{ "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout",
"time": 10. },
{ "header": "Definition",
"tactic": "Wp.unfold", "tactic": "Wp.unfold",
"params": {}, "params": {},
"select": { "select": "inside-goal", "select": { "select": "inside-goal",
......
[ { "prover": "script", "verdict": "valid" }, [ { "header": "Definition", "tactic": "Wp.unfold", "params": {},
{ "header": "Definition", "tactic": "Wp.unfold", "params": {},
"select": { "select": "clause-goal", "select": { "select": "clause-goal",
"target": "let a_0 = (shiftfield_F9_FloatRMat_m rm_0) in\nlet r_0 = Mf32_1[(shiftfield_F7_FloatQuat_qi q_0)] in\nlet r_1 = (2*r_0*r_0) in\nlet r_2 = Mf32_1[(shiftfield_F7_FloatQuat_qx q_0)] in\nlet r_3 = Mf32_1[(shiftfield_F7_FloatQuat_qz q_0)] in\nlet r_4 = (2*r_0*r_3) in\nlet r_5 = Mf32_1[(shiftfield_F7_FloatQuat_qy q_0)] in\nlet r_6 = (2*r_2*r_5) in\nlet r_7 = (2*r_0*r_5) in\nlet r_8 = (2*r_2*r_3) in\nlet r_9 = (2*r_0*r_2) in\nlet r_10 = (2*r_5*r_3) in\n(P_rotation_matrix\n (L_l_RMat_of_FloatRMat\n Mf32_1[(shift_float32 a_0 0)->r_1+(2*r_2*r_2)-1][(shift_float32 a_0 1)\n ->r_4+r_6][(shift_float32 a_0 2)->r_8-r_7][(shift_float32 a_0 3)\n ->r_6-r_4][(shift_float32 a_0 4)->r_1+(2*r_5*r_5)-1]\n [(shift_float32 a_0 5)->r_9+r_10][(shift_float32 a_0 6)->r_7+r_8]\n [(shift_float32 a_0 7)->r_10-r_9][(shift_float32 a_0 8)\n ->r_1+(2*r_3*r_3)-1] rm_0))", "target": "let a_0 = (shiftfield_F9_FloatRMat_m rm_0) in\nlet r_0 = Mf32_1[(shiftfield_F7_FloatQuat_qi q_0)] in\nlet r_1 = (2*r_0*r_0) in\nlet r_2 = Mf32_1[(shiftfield_F7_FloatQuat_qx q_0)] in\nlet r_3 = Mf32_1[(shiftfield_F7_FloatQuat_qz q_0)] in\nlet r_4 = (2*r_0*r_3) in\nlet r_5 = Mf32_1[(shiftfield_F7_FloatQuat_qy q_0)] in\nlet r_6 = (2*r_2*r_5) in\nlet r_7 = (2*r_0*r_5) in\nlet r_8 = (2*r_2*r_3) in\nlet r_9 = (2*r_0*r_2) in\nlet r_10 = (2*r_5*r_3) in\n(P_rotation_matrix\n (L_l_RMat_of_FloatRMat\n Mf32_1[(shift_float32 a_0 0)->r_1+(2*r_2*r_2)-1][(shift_float32 a_0 1)\n ->r_4+r_6][(shift_float32 a_0 2)->r_8-r_7][(shift_float32 a_0 3)\n ->r_6-r_4][(shift_float32 a_0 4)->r_1+(2*r_5*r_5)-1]\n [(shift_float32 a_0 5)->r_9+r_10][(shift_float32 a_0 6)->r_7+r_8]\n [(shift_float32 a_0 7)->r_10-r_9][(shift_float32 a_0 8)\n ->r_1+(2*r_3*r_3)-1] rm_0))",
"pattern": "P_rotation_matrixL_l_RMat_of_FloatRMat" }, "pattern": "P_rotation_matrixL_l_RMat_of_FloatRMat" },
...@@ -61,21 +60,21 @@ ...@@ -61,21 +60,21 @@
{ "Goal 1/6": { "Goal 1/6":
[ { "prover": "Z3:4.8.6:noBV", [ { "prover": "Z3:4.8.6:noBV",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Z3:4.8.6:counterexamples", { "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Z3:4.8.6", { "prover": "Z3:4.8.6",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Coq:8.12.2", { "prover": "Coq:8.12.2",
"verdict": "unknown" }, "verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples", { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Alt-Ergo:2.3.3", { "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout", "verdict": "timeout",
"time": 18. }, "time": 10. },
{ "header": "Definition", { "header": "Definition",
"tactic": "Wp.unfold", "tactic": "Wp.unfold",
"params": {}, "params": {},
...@@ -96,26 +95,26 @@ ...@@ -96,26 +95,26 @@
"Goal 2/6": "Goal 2/6":
[ { "prover": "Alt-Ergo:2.3.3", [ { "prover": "Alt-Ergo:2.3.3",
"verdict": "valid", "verdict": "valid",
"time": 15.7637, "time": 13.0668,
"steps": 134 } ], "steps": 134 } ],
"Goal 3/6": "Goal 3/6":
[ { "prover": "Z3:4.8.6:noBV", [ { "prover": "Z3:4.8.6:noBV",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Z3:4.8.6:counterexamples", { "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Z3:4.8.6", { "prover": "Z3:4.8.6",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Coq:8.12.2", { "prover": "Coq:8.12.2",
"verdict": "unknown" }, "verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples", { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Alt-Ergo:2.3.3", { "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout", "verdict": "timeout",
"time": 17. }, "time": 10. },
{ "header": "Definition", { "header": "Definition",
"tactic": "Wp.unfold", "tactic": "Wp.unfold",
"params": {}, "params": {},
...@@ -136,21 +135,21 @@ ...@@ -136,21 +135,21 @@
"Goal 4/6": "Goal 4/6":
[ { "prover": "Z3:4.8.6:noBV", [ { "prover": "Z3:4.8.6:noBV",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Z3:4.8.6:counterexamples", { "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Z3:4.8.6", { "prover": "Z3:4.8.6",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Coq:8.12.2", { "prover": "Coq:8.12.2",
"verdict": "unknown" }, "verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples", { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Alt-Ergo:2.3.3", { "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout", "verdict": "timeout",
"time": 17. }, "time": 10. },
{ "header": "Definition", { "header": "Definition",
"tactic": "Wp.unfold", "tactic": "Wp.unfold",
"params": {}, "params": {},
...@@ -171,7 +170,7 @@ ...@@ -171,7 +170,7 @@
"Goal 5/6": "Goal 5/6":
[ { "prover": "Alt-Ergo:2.3.3", [ { "prover": "Alt-Ergo:2.3.3",
"verdict": "valid", "verdict": "valid",
"time": 14.8089, "time": 18.5909,
"steps": 138 } ], "steps": 138 } ],
"Goal 6/6": "Goal 6/6":
[ { "header": "Definition", [ { "header": "Definition",
...@@ -188,5 +187,5 @@ ...@@ -188,5 +187,5 @@
{ "Unfold 'shift_float32'": { "Unfold 'shift_float32'":
[ { "prover": "Alt-Ergo:2.3.3", [ { "prover": "Alt-Ergo:2.3.3",
"verdict": "valid", "verdict": "valid",
"time": 12.7528, "time": 11.9438,
"steps": 138 } ] } } ] } } ] } } ] } } ] } } ] } } ] } } ] } } ] "steps": 138 } ] } } ] } } ] } } ] } } ] } } ] } } ] } } ] } } ]
[ { "prover": "Z3:4.8.6:noBV", "verdict": "timeout", "time": 15. }, [ { "header": "Definition", "tactic": "Wp.unfold", "params": {},
{ "prover": "Z3:4.8.6:counterexamples", "verdict": "timeout", "time": 15. },
{ "prover": "Z3:4.8.6", "verdict": "timeout", "time": 15. },
{ "prover": "Coq:8.12.2", "verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout", "time": 15. },
{ "prover": "Alt-Ergo:2.3.3", "verdict": "timeout", "time": 15. },
{ "prover": "script", "verdict": "valid" },
{ "header": "Definition", "tactic": "Wp.unfold", "params": {},
"select": { "select": "inside-goal", "occur": 0, "select": { "select": "inside-goal", "occur": 0,
"target": "let a_0 = (shiftfield_F9_FloatRMat_m rm_0) in\nlet r_0 = Mf32_1[(shiftfield_F7_FloatQuat_qi q_0)] in\nlet r_1 = (2*r_0*r_0) in\nlet r_2 = Mf32_1[(shiftfield_F7_FloatQuat_qx q_0)] in\nlet r_3 = Mf32_1[(shiftfield_F7_FloatQuat_qz q_0)] in\nlet r_4 = (2*r_0*r_3) in\nlet r_5 = Mf32_1[(shiftfield_F7_FloatQuat_qy q_0)] in\nlet r_6 = (2*r_2*r_5) in\nlet r_7 = (2*r_0*r_5) in\nlet r_8 = (2*r_2*r_3) in\nlet r_9 = (2*r_0*r_2) in\nlet r_10 = (2*r_5*r_3) in\n(L_l_RMat_of_FloatRMat\n Mf32_1[(shift_float32 a_0 0)->r_1+(2*r_2*r_2)-1][(shift_float32 a_0 1)\n ->r_4+r_6][(shift_float32 a_0 2)->r_8-r_7][(shift_float32 a_0 3)\n ->r_6-r_4][(shift_float32 a_0 4)->r_1+(2*r_5*r_5)-1]\n [(shift_float32 a_0 5)->r_9+r_10][(shift_float32 a_0 6)->r_7+r_8]\n [(shift_float32 a_0 7)->r_10-r_9][(shift_float32 a_0 8)\n ->r_1+(2*r_3*r_3)-1] rm_0)", "target": "let a_0 = (shiftfield_F9_FloatRMat_m rm_0) in\nlet r_0 = Mf32_1[(shiftfield_F7_FloatQuat_qi q_0)] in\nlet r_1 = (2*r_0*r_0) in\nlet r_2 = Mf32_1[(shiftfield_F7_FloatQuat_qx q_0)] in\nlet r_3 = Mf32_1[(shiftfield_F7_FloatQuat_qz q_0)] in\nlet r_4 = (2*r_0*r_3) in\nlet r_5 = Mf32_1[(shiftfield_F7_FloatQuat_qy q_0)] in\nlet r_6 = (2*r_2*r_5) in\nlet r_7 = (2*r_0*r_5) in\nlet r_8 = (2*r_2*r_3) in\nlet r_9 = (2*r_0*r_2) in\nlet r_10 = (2*r_5*r_3) in\n(L_l_RMat_of_FloatRMat\n Mf32_1[(shift_float32 a_0 0)->r_1+(2*r_2*r_2)-1][(shift_float32 a_0 1)\n ->r_4+r_6][(shift_float32 a_0 2)->r_8-r_7][(shift_float32 a_0 3)\n ->r_6-r_4][(shift_float32 a_0 4)->r_1+(2*r_5*r_5)-1]\n [(shift_float32 a_0 5)->r_9+r_10][(shift_float32 a_0 6)->r_7+r_8]\n [(shift_float32 a_0 7)->r_10-r_9][(shift_float32 a_0 8)\n ->r_1+(2*r_3*r_3)-1] rm_0)",
"pattern": "L_l_RMat_of_FloatRMat[=]$rm[=]shift_float32" }, "pattern": "L_l_RMat_of_FloatRMat[=]$rm[=]shift_float32" },
"children": { "Unfold 'L_l_RMat_of_FloatRMat'": [ { "prover": "Z3:4.8.6:noBV", "children": { "Unfold 'L_l_RMat_of_FloatRMat'": [ { "header": "Definition",
"verdict": "timeout",
"time": 15. },
{ "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout",
"time": 15. },
{ "prover": "Z3:4.8.6",
"verdict": "timeout",
"time": 15. },
{ "prover": "Coq:8.12.2",
"verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout",
"time": 15. },
{ "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout",
"time": 15. },
{ "header": "Definition",
"tactic": "Wp.unfold", "tactic": "Wp.unfold",
"params": {}, "params": {},
"select": { "select": "clause-goal", "select": { "select": "clause-goal",
"target": "let r_0 = Mf32_1[(shiftfield_F7_FloatQuat_qi q_0)] in\nlet r_1 = (2*r_0*r_0) in\nlet r_2 = Mf32_1[(shiftfield_F7_FloatQuat_qx q_0)] in\nlet r_3 = Mf32_1[(shiftfield_F7_FloatQuat_qz q_0)] in\nlet r_4 = (2*r_0*r_3) in\nlet r_5 = Mf32_1[(shiftfield_F7_FloatQuat_qy q_0)] in\nlet r_6 = (2*r_2*r_5) in\nlet r_7 = (2*r_0*r_5) in\nlet r_8 = (2*r_2*r_3) in\nlet r_9 = (2*r_0*r_2) in\nlet r_10 = (2*r_5*r_3) in\n(P_special_orthogonal\n {\n F12_RealRMat_s_a00 = r_1+(2*r_2*r_2)-1 ;\n F12_RealRMat_s_a01 = r_4+r_6 ;\n F12_RealRMat_s_a02 = r_8-r_7 ;\n F12_RealRMat_s_a10 = r_6-r_4 ;\n F12_RealRMat_s_a11 = r_1+(2*r_5*r_5)-1 ;\n F12_RealRMat_s_a12 = r_9+r_10 ;\n F12_RealRMat_s_a20 = r_7+r_8 ;\n F12_RealRMat_s_a21 = r_10-r_9 ;\n F12_RealRMat_s_a22 = r_1+(2*r_3*r_3)-1\n })", "target": "let r_0 = Mf32_1[(shiftfield_F7_FloatQuat_qi q_0)] in\nlet r_1 = (2*r_0*r_0) in\nlet r_2 = Mf32_1[(shiftfield_F7_FloatQuat_qx q_0)] in\nlet r_3 = Mf32_1[(shiftfield_F7_FloatQuat_qz q_0)] in\nlet r_4 = (2*r_0*r_3) in\nlet r_5 = Mf32_1[(shiftfield_F7_FloatQuat_qy q_0)] in\nlet r_6 = (2*r_2*r_5) in\nlet r_7 = (2*r_0*r_5) in\nlet r_8 = (2*r_2*r_3) in\nlet r_9 = (2*r_0*r_2) in\nlet r_10 = (2*r_5*r_3) in\n(P_special_orthogonal\n {\n F12_RealRMat_s_a00 = r_1+(2*r_2*r_2)-1 ;\n F12_RealRMat_s_a01 = r_4+r_6 ;\n F12_RealRMat_s_a02 = r_8-r_7 ;\n F12_RealRMat_s_a10 = r_6-r_4 ;\n F12_RealRMat_s_a11 = r_1+(2*r_5*r_5)-1 ;\n F12_RealRMat_s_a12 = r_9+r_10 ;\n F12_RealRMat_s_a20 = r_7+r_8 ;\n F12_RealRMat_s_a21 = r_10-r_9 ;\n F12_RealRMat_s_a22 = r_1+(2*r_3*r_3)-1\n })",
"pattern": "P_special_orthogonal{RealRMat_s}" }, "pattern": "P_special_orthogonal{RealRMat_s}" },
"children": { "Unfold 'P_special_orthogonal'": "children": { "Unfold 'P_special_orthogonal'":
[ { "prover": "Z3:4.8.6:noBV", [ { "header": "Definition",
"verdict": "timeout",
"time": 15. },
{ "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout",
"time": 15. },
{ "prover": "Z3:4.8.6",
"verdict": "timeout",
"time": 15. },
{ "prover": "Coq:8.12.2",
"verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout",
"time": 15. },
{ "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout",
"time": 15. },
{ "header": "Definition",
"tactic": "Wp.unfold", "tactic": "Wp.unfold",
"params": {}, "params": {},
"select": "select":
...@@ -63,21 +21,21 @@ ...@@ -63,21 +21,21 @@
{ "Unfold 'L_determinant'": { "Unfold 'L_determinant'":
[ { "prover": "Z3:4.8.6:noBV", [ { "prover": "Z3:4.8.6:noBV",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Z3:4.8.6:counterexamples", { "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Z3:4.8.6", { "prover": "Z3:4.8.6",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Coq:8.12.2", { "prover": "Coq:8.12.2",
"verdict": "unknown" }, "verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples", { "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "prover": "Alt-Ergo:2.3.3", { "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout", "verdict": "timeout",
"time": 15. }, "time": 10. },
{ "header": "Definition", { "header": "Definition",
"tactic": "Wp.unfold", "tactic": "Wp.unfold",
"params": {}, "params": {},
......
[ { "prover": "Z3:4.8.6:noBV", "verdict": "timeout", "time": 10. },
{ "prover": "Z3:4.8.6:counterexamples", "verdict": "timeout", "time": 10. },
{ "prover": "Z3:4.8.6", "verdict": "timeout", "time": 10. },
{ "prover": "Coq:8.12.2", "verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout", "time": 10. },
{ "prover": "Alt-Ergo:2.3.3", "verdict": "timeout", "time": 10. } ]
[ { "prover": "Z3:4.8.6:noBV", "verdict": "timeout", "time": 10. }, [ { "header": "Definition", "tactic": "Wp.unfold", "params": {},
{ "prover": "Z3:4.8.6:counterexamples", "verdict": "timeout", "time": 10. },
{ "prover": "Z3:4.8.6", "verdict": "timeout", "time": 10. },
{ "prover": "Coq:8.12.2", "verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout", "time": 10. },
{ "prover": "Alt-Ergo:2.3.3", "verdict": "timeout", "time": 10. },
{ "prover": "script", "verdict": "valid" },
{ "header": "Definition", "tactic": "Wp.unfold", "params": {},
"select": { "select": "inside-goal", "occur": 0, "select": { "select": "inside-goal", "occur": 0,
"target": "(L_l_RMat_of_FloatQuat_1_ Mf32_0 q_0)", "target": "(L_l_RMat_of_FloatQuat_1_ Mf32_0 q_0)",
"pattern": "L_l_RMat_of_FloatQuat_1_$Mf32$q" }, "pattern": "L_l_RMat_of_FloatQuat_1_$Mf32$q" },
"children": { "Unfold 'L_l_RMat_of_FloatQuat_1_'": [ { "prover": "Z3:4.8.6:noBV", "children": { "Unfold 'L_l_RMat_of_FloatQuat_1_'": [ { "header": "Definition",
"verdict": "timeout",
"time": 10. },
{ "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout",
"time": 10. },
{ "prover": "Z3:4.8.6",
"verdict": "timeout",
"time": 10. },
{ "prover": "Coq:8.12.2",
"verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout",
"time": 10. },
{ "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout",
"time": 10. },
{ "header": "Definition",
"tactic": "Wp.unfold", "tactic": "Wp.unfold",
"params": {}, "params": {},
"select": "select":
...@@ -38,24 +13,7 @@ ...@@ -38,24 +13,7 @@
"pattern": "P_unary_quaternion_1_$Mf32$q" }, "pattern": "P_unary_quaternion_1_$Mf32$q" },
"children": "children":
{ "Unfold 'P_unary_quaternion_1_'": { "Unfold 'P_unary_quaternion_1_'":
[ { "prover": "Z3:4.8.6:noBV", [ { "header": "Definition",
"verdict": "timeout",
"time": 10. },
{ "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout",
"time": 10. },
{ "prover": "Z3:4.8.6",
"verdict": "timeout",
"time": 10. },
{ "prover": "Coq:8.12.2",
"verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout",
"time": 10. },
{ "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout",
"time": 10. },
{ "header": "Definition",
"tactic": "Wp.unfold", "tactic": "Wp.unfold",
"params": {}, "params": {},
"select": "select":
...@@ -64,24 +22,7 @@ ...@@ -64,24 +22,7 @@
"pattern": "P_rotation_matrix{RealRMat_s}+**" }, "pattern": "P_rotation_matrix{RealRMat_s}+**" },
"children": "children":
{ "Unfold 'P_rotation_matrix'": { "Unfold 'P_rotation_matrix'":
[ { "prover": "Z3:4.8.6:noBV", [ { "header": "Definition",
"verdict": "timeout",
"time": 10. },
{ "prover": "Z3:4.8.6:counterexamples",
"verdict": "timeout",
"time": 10. },
{ "prover": "Z3:4.8.6",
"verdict": "timeout",
"time": 10. },
{ "prover": "Coq:8.12.2",
"verdict": "unknown" },
{ "prover": "CVC4:1.9-prerelease:strings+counterexamples",
"verdict": "timeout",
"time": 10. },
{ "prover": "Alt-Ergo:2.3.3",
"verdict": "timeout",
"time": 10. },
{ "header": "Definition",
"tactic": "Wp.unfold", "tactic": "Wp.unfold",
"params": {}, "params": {},
"select": "select":
...@@ -91,24 +32,7 @@ ...@@ -91,24 +32,7 @@
"pattern": "L_id_rmat" }, "pattern": "L_id_rmat" },